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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
Autore Madsen Ib
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (296 pages) : illustrations
Disciplina 514/.223
Collana Annals of Mathematics Studies
Soggetto topico Manifolds (Mathematics)
Classifying spaces
Surgery (Topology)
Cobordism theory
Soggetto non controllato Bijection
Calculation
Characteristic class
Classification theorem
Classifying space
Closed manifold
Cobordism
Coefficient
Cohomology
Commutative diagram
Commutative property
Complex projective space
Connected sum
Corollary
Cup product
Diagram (category theory)
Differentiable manifold
Disjoint union
Disk (mathematics)
Effective method
Eilenberg–Moore spectral sequence
Elaboration
Equivalence class
Exact sequence
Exterior algebra
Fiber bundle
Fibration
Function composition
H-space
Homeomorphism
Homomorphism
Homotopy fiber
Homotopy group
Homotopy
Hopf algebra
Iterative method
Loop space
Manifold
Massey product
N-sphere
Normal bundle
Obstruction theory
Pairing
Permutation
Piecewise linear manifold
Piecewise linear
Polynomial
Prime number
Projective space
Sequence
Simply connected space
Special case
Spin structure
Steenrod algebra
Subset
Summation
Tensor product
Theorem
Topological group
Topological manifold
Topology
Total order
ISBN 1-4008-8147-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter
Record Nr. UNINA-9910154749003321
Madsen Ib  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Cohomology Operations (AM-50), Volume 50 : Lectures by N.E. Steenrod. (AM-50) / / David B.A. Epstein
Cohomology Operations (AM-50), Volume 50 : Lectures by N.E. Steenrod. (AM-50) / / David B.A. Epstein
Autore Epstein David B.A.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (156 pages) : illustrations
Disciplina 513.83
Collana Annals of Mathematics Studies
Soggetto topico Homology theory
Soggetto non controllato Algebra homomorphism
Algebra over a field
Algebraic structure
Approximation
Axiom
Basis (linear algebra)
CW complex
Cartesian product
Classical group
Coefficient
Cohomology operation
Cohomology ring
Cohomology
Commutative property
Complex number
Computation
Continuous function
Cup product
Cyclic group
Diagram (category theory)
Dimension
Direct limit
Embedding
Existence theorem
Fibration
Homomorphism
Hopf algebra
Hopf invariant
Ideal (ring theory)
Integer
Inverse limit
Manifold
Mathematics
Monomial
N-skeleton
Natural transformation
Permutation
Quaternion
Ring (mathematics)
Scalar (physics)
Special unitary group
Steenrod algebra
Stiefel manifold
Subgroup
Subset
Summation
Symmetric group
Symplectic group
Theorem
Uniqueness theorem
Upper and lower bounds
Vector field
Vector space
W0
ISBN 1-4008-8167-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. Axiomatic Development of the Steenrod Algebra -- CHAPTER II. The Dual of the Algebra -- CHARTER III. Embeddings of Spaces in Spheres -- CHAPTER IV. The Cohomology of Classical Groups and Stiefel Manifolds. -- CHAPTER V. Equivariant Cohomology -- CHAPTER VI. Axiomatic Development of the Algebra -- CHAPTER VII. Construction of the Reduced Powers -- CHAPTER VIII. Relations of Adem and the Uniqueness Theorem -- APPENDIX: Algebraic Derivations of Certain Properties of the Steenrod Algebra -- Index -- Errata for the Annals Study No. 50
Record Nr. UNINA-9910154754903321
Epstein David B.A.  
Princeton, NJ : , : Princeton University Press, , [2016]
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Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin
Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 / / Victor Guillemin
Autore Guillemin Victor
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (236 pages) : illustrations
Disciplina 523.1/072/4
Collana Annals of Mathematics Studies
Soggetto topico Cosmology - Mathematical models
Geometry, Differential
Lorentz transformations
Soggetto non controllato Automorphism
Bijection
C0
Canonical form
Canonical transformation
Cauchy distribution
Causal structure
Cayley transform
Codimension
Cohomology
Cokernel
Compactification (mathematics)
Complexification (Lie group)
Computation
Conformal geometry
Conformal map
Conformal symmetry
Connected sum
Contact geometry
Corank
Covariant derivative
Covering space
Deformation theory
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Einstein field equations
Equation
Euler characteristic
Existential quantification
Fiber bundle
Fibration
Floquet theory
Four-dimensional space
Fourier integral operator
Fourier transform
Fundamental group
Geodesic
Hamilton–Jacobi equation
Hilbert space
Holomorphic function
Holomorphic vector bundle
Hyperfunction
Hypersurface
Integral curve
Integral geometry
Integral transform
Intersection (set theory)
Invertible matrix
K-finite
Lagrangian (field theory)
Lie algebra
Light cone
Linear map
Manifold
Maxima and minima
Minkowski space
Module (mathematics)
Notation
One-parameter group
Parametrix
Parametrization
Principal bundle
Product metric
Pseudo-differential operator
Quadratic equation
Quadratic form
Quadric
Radon transform
Riemann surface
Riemannian manifold
Seifert fiber space
Sheaf (mathematics)
Siegel domain
Simply connected space
Submanifold
Submersion (mathematics)
Support (mathematics)
Surjective function
Symplectic manifold
Symplectic vector space
Symplectomorphism
Tangent space
Tautology (logic)
Tensor product
Theorem
Topological space
Topology
Two-dimensional space
Unit vector
Universal enveloping algebra
Variable (mathematics)
Vector bundle
Vector field
Vector space
Verma module
Volume form
X-ray transform
ISBN 1-4008-8241-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Foreword -- Part I. A relativistic approach to Zoll phenomena -- Part II. The general theory of Zollfrei deformations -- Part III. Zollfrei deformations of M2,1 -- Part IV. The generalized x-ray transform -- Part V. The Floquet theory -- Bibliography
Record Nr. UNINA-9910154746903321
Guillemin Victor  
Princeton, NJ : , : Princeton University Press, , [2016]
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Autore Friedlander Eric M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (193 pages)
Disciplina 514/.24
Collana Annals of Mathematics Studies
Soggetto topico Homotopy theory
Schemes (Algebraic geometry)
Homology theory
Soggetto non controllato Abelian group
Adams operation
Adjoint functors
Alexander Grothendieck
Algebraic K-theory
Algebraic closure
Algebraic geometry
Algebraic group
Algebraic number theory
Algebraic structure
Algebraic topology (object)
Algebraic topology
Algebraic variety
Algebraically closed field
Automorphism
Base change
Cap product
Cartesian product
Closed immersion
Codimension
Coefficient
Cohomology
Comparison theorem
Complex number
Complex vector bundle
Connected component (graph theory)
Connected space
Coprime integers
Corollary
Covering space
Derived functor
Dimension (vector space)
Disjoint union
Embedding
Existence theorem
Ext functor
Exterior algebra
Fiber bundle
Fibration
Finite field
Finite group
Free group
Functor
Fundamental group
Galois cohomology
Galois extension
Geometry
Grothendieck topology
Homogeneous space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy category
Homotopy group
Homotopy
Integral domain
Intersection (set theory)
Inverse limit
Inverse system
K-theory
Leray spectral sequence
Lie group
Local ring
Mapping cylinder
Natural number
Natural transformation
Neighbourhood (mathematics)
Newton polynomial
Noetherian ring
Open set
Opposite category
Pointed set
Presheaf (category theory)
Reductive group
Regular local ring
Relative homology
Residue field
Riemann surface
Root of unity
Serre spectral sequence
Shape theory (mathematics)
Sheaf (mathematics)
Sheaf cohomology
Sheaf of spectra
Simplex
Simplicial set
Special case
Spectral sequence
Surjective function
Theorem
Topological K-theory
Topological space
Topology
Tubular neighborhood
Vector bundle
Weak equivalence (homotopy theory)
Weil conjectures
Weyl group
Witt vector
Zariski topology
ISBN 1-4008-8149-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter
Record Nr. UNINA-9910154744803321
Friedlander Eric M.  
Princeton, NJ : , : Princeton University Press, , [2016]
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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
Autore Kirby Robion C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (373 pages) : illustrations
Disciplina 514/.7
Collana Annals of Mathematics Studies
Soggetto topico Manifolds (Mathematics)
Piecewise linear topology
Triangulating manifolds
Soggetto non controllato Affine space
Algebraic topology (object)
Approximation
Associative property
Automorphism
Big O notation
CW complex
Calculation
Cap product
Cartesian product
Category of sets
Chain complex
Classification theorem
Classifying space
Cobordism
Codimension
Cofibration
Cohomology
Connected space
Continuous function (set theory)
Continuous function
Counterexample
Diffeomorphism
Differentiable manifold
Differential structure
Differential topology
Dimension (vector space)
Direct proof
Disjoint union
Elementary proof
Embedding
Euclidean space
Existence theorem
Existential quantification
Fiber bundle
Fibration
General position
Geometry
Group homomorphism
H-cobordism
H-space
Handle decomposition
Handlebody
Hauptvermutung
Hausdorff space
Hilbert cube
Homeomorphism group
Homeomorphism
Homomorphism
Homotopy group
Homotopy
Inclusion map
Injective function
Invertible matrix
K-cell (mathematics)
Kan extension
Linear subspace
Linear topology
Manifold
Mapping cylinder
Mathematical induction
Mathematician
Metric space
Morse theory
Neighbourhood (mathematics)
Open set
Partition of unity
Piecewise linear manifold
Piecewise linear
Poincaré conjecture
Polyhedron
Principal bundle
Product metric
Pushout (category theory)
Regular homotopy
Retract
Sheaf (mathematics)
Simplicial complex
Smoothing
Spin structure
Stability theory
Stable manifold
Standard map
Submanifold
Submersion (mathematics)
Subset
Surgery exact sequence
Surjective function
Theorem
Topological group
Topological manifold
Topological space
Topology
Transversal (geometry)
Transversality (mathematics)
Transversality theorem
Union (set theory)
Uniqueness theorem
Vector bundle
Zorn's lemma
ISBN 1-4008-8150-1
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter
Record Nr. UNINA-9910154753803321
Kirby Robion C.  
Princeton, NJ : , : Princeton University Press, , [2016]
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Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
Autore Lescop Christine <1966->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (156 p.)
Disciplina 514/.72
Collana Annals of Mathematics Studies
Soggetto topico Surgery (Topology)
Three-manifolds (Topology)
Soggetto non controllato 3-manifold
Addition
Alexander polynomial
Ambient isotopy
Betti number
Casson invariant
Change of basis
Change of variables
Cobordism
Coefficient
Combination
Combinatorics
Computation
Conjugacy class
Connected component (graph theory)
Connected space
Connected sum
Cup product
Determinant
Diagram (category theory)
Disk (mathematics)
Empty set
Exterior (topology)
Fiber bundle
Fibration
Function (mathematics)
Fundamental group
Homeomorphism
Homology (mathematics)
Homology sphere
Homotopy sphere
Indeterminate (variable)
Integer
Klein bottle
Knot theory
Manifold
Morphism
Notation
Orientability
Permutation
Polynomial
Prime number
Projective plane
Scientific notation
Seifert surface
Sequence
Summation
Symmetrization
Taylor series
Theorem
Topology
Tubular neighborhood
Unlink
ISBN 0-691-02133-3
1-4008-6515-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index
Record Nr. UNINA-9910786748103321
Lescop Christine <1966->  
Princeton, New Jersey : , : Princeton University Press, , 1996
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Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
Autore Lescop Christine <1966->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (156 p.)
Disciplina 514/.72
Collana Annals of Mathematics Studies
Soggetto topico Surgery (Topology)
Three-manifolds (Topology)
Soggetto non controllato 3-manifold
Addition
Alexander polynomial
Ambient isotopy
Betti number
Casson invariant
Change of basis
Change of variables
Cobordism
Coefficient
Combination
Combinatorics
Computation
Conjugacy class
Connected component (graph theory)
Connected space
Connected sum
Cup product
Determinant
Diagram (category theory)
Disk (mathematics)
Empty set
Exterior (topology)
Fiber bundle
Fibration
Function (mathematics)
Fundamental group
Homeomorphism
Homology (mathematics)
Homology sphere
Homotopy sphere
Indeterminate (variable)
Integer
Klein bottle
Knot theory
Manifold
Morphism
Notation
Orientability
Permutation
Polynomial
Prime number
Projective plane
Scientific notation
Seifert surface
Sequence
Summation
Symmetrization
Taylor series
Theorem
Topology
Tubular neighborhood
Unlink
ISBN 0-691-02133-3
1-4008-6515-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index
Record Nr. UNINA-9910827210603321
Lescop Christine <1966->  
Princeton, New Jersey : , : Princeton University Press, , 1996
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Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Autore Kumpera Antonio
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (312 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Lie groups
Lie algebras
Differential equations
Soggetto non controllato Adjoint representation
Adjoint
Affine transformation
Alexander Grothendieck
Analytic function
Associative algebra
Atlas (topology)
Automorphism
Bernhard Riemann
Big O notation
Bundle map
Category of topological spaces
Cauchy–Riemann equations
Coefficient
Commutative diagram
Commutator
Complex conjugate
Complex group
Complex manifold
Computation
Conformal map
Continuous function
Coordinate system
Corollary
Cotangent bundle
Curvature tensor
Deformation theory
Derivative
Diagonal
Diffeomorphism
Differentiable function
Differential form
Differential operator
Differential structure
Direct proof
Direct sum
Ellipse
Endomorphism
Equation
Exact sequence
Exactness
Existential quantification
Exponential function
Exponential map (Riemannian geometry)
Exterior derivative
Fiber bundle
Fibration
Frame bundle
Frobenius theorem (differential topology)
Frobenius theorem (real division algebras)
Group isomorphism
Groupoid
Holomorphic function
Homeomorphism
Integer
J-invariant
Jacobian matrix and determinant
Jet bundle
Linear combination
Linear map
Manifold
Maximal ideal
Model category
Morphism
Nonlinear system
Open set
Parameter
Partial derivative
Partial differential equation
Pointwise
Presheaf (category theory)
Pseudo-differential operator
Pseudogroup
Quantity
Regular map (graph theory)
Requirement
Riemann surface
Right inverse
Scalar multiplication
Sheaf (mathematics)
Special case
Structure tensor
Subalgebra
Subcategory
Subgroup
Submanifold
Subset
Tangent bundle
Tangent space
Tangent vector
Tensor field
Tensor product
Theorem
Torsion tensor
Transpose
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume element
ISBN 1-4008-8173-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index
Record Nr. UNINA-9910154751903321
Kumpera Antonio  
Princeton, NJ : , : Princeton University Press, , [2016]
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On Knots. (AM-115), Volume 115 / / Louis H. Kauffman
On Knots. (AM-115), Volume 115 / / Louis H. Kauffman
Autore Kauffman Louis H.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (497 pages) : illustrations
Disciplina 514/.224
Collana Annals of Mathematics Studies
Soggetto topico Knot theory
Soggetto non controllato 3-sphere
Addition theorem
Addition
Alexander polynomial
Algebraic variety
Algorithm
Ambient isotopy
Arf invariant
Basepoint
Bijection
Bilinear form
Borromean rings
Bracket polynomial
Braid group
Branched covering
Chiral knot
Chromatic polynomial
Cobordism
Codimension
Combination
Combinatorics
Complex analysis
Concentric
Conjecture
Connected sum
Conway polynomial (finite fields)
Counting
Covering space
Cyclic group
Dense set
Determinant
Diagram (category theory)
Diffeomorphism
Dimension
Disjoint union
Disk (mathematics)
Dual graph
Elementary algebra
Embedding
Enumeration
Existential quantification
Exotic sphere
Fibration
Formal power series
Fundamental group
Geometric topology
Geometry and topology
Geometry
Group action
Homotopy
Integer
Intersection form (4-manifold)
Isolated singularity
Jones polynomial
Knot complement
Knot group
Knot theory
Laws of Form
Lens space
Linking number
Manifold
Module (mathematics)
Morwen Thistlethwaite
Normal bundle
Notation
Obstruction theory
Operator algebra
Pairing
Parity (mathematics)
Partition function (mathematics)
Planar graph
Point at infinity
Polynomial ring
Polynomial
Quantity
Rectangle
Reidemeister move
Remainder
Root of unity
Saddle point
Seifert surface
Singularity theory
Slice knot
Special case
Statistical mechanics
Substructure
Summation
Symmetry
Theorem
Three-dimensional space (mathematics)
Topological space
Torus knot
Trefoil knot
Tubular neighborhood
Underpinning
Unknot
Variable (mathematics)
Whitehead link
Wild knot
Writhe
ISBN 1-4008-8213-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE -- I. INTRODUCTION -- II. LINKING NUMBERS AND REIDEMEISTER MOVES -- III. THE CONWAY POLYNOMIAL -- IV. EXAMPLE S AND SKEIN THEORY -- V. DETECTING SLICES AND RIBBONS- A FIRST PASS -- VI. MISCELLANY -- VII. SPANNING SURFACES AND THE SEIFERT PAIRING -- VIII. RIBBONS AND SLICES -- IX. THE ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS -- X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT -- XI. FREE DIFFERENTIAL CALCULUS -- XII. CYCLIC BRANCHED COVERINGS -- XIII. SIGNATURE THEOREMS -- XIV. G-SIGNATURE THEOREM FOR FOUR MANIFOLDS -- XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS -- XVI. AN INVARIANT FOR COVERINGS -- XVII. SLICE KNOTS -- XVIII. CALCULATING σr FOR GENERALIZED STEVEDORE'S KNOT -- XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES -- APPENDIX. GENERALIZED POLYNOMIALS AND A STATE MODEL FOR THE JONES POLYNOMIAL -- KNOT TABLES AND THE L-POLYNOMIAL -- REFERENCES
Record Nr. UNINA-9910154751303321
Kauffman Louis H.  
Princeton, NJ : , : Princeton University Press, , [2016]
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Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn
Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (357 pages) : illustrations
Disciplina 514
Collana Annals of Mathematics Studies
Soggetto topico Topology
Soggetto non controllato Adjunction (field theory)
Algebraic cycle
Algebraic topology
Analytic function
Automorphism
Base change
Basis (linear algebra)
Borel conjecture
Characteristic class
Circle group
Classifying space
Cobordism
Codimension
Cohomology ring
Cohomology
Combinatorial group theory
Commutative diagram
Commutative property
Compactification (mathematics)
Coxeter group
Cyclic group
Cyclic homology
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac operator
Discrete valuation ring
Divisor (algebraic geometry)
Elliptic operator
Equivariant K-theory
Equivariant cohomology
Equivariant map
Exterior (topology)
Exterior algebra
Fiber bundle
Fibration
Fundamental group
Gauss map
Geometrization conjecture
Group algebra
H-cobordism
Homeomorphism
Homotopy fiber
Homotopy group
Homotopy
Hopf algebra
Identity matrix
Inclusion map
Intersection form (4-manifold)
Isomorphism class
J-homomorphism
Knot theory
L-theory
Lens space
Lie algebra
Lie group
Linear algebra
Mapping cone (homological algebra)
Mapping cone (topology)
Marriage theorem
Metric space
Moduli space
Motivic cohomology
Neighbourhood (mathematics)
Operator norm
Pushout (category theory)
Quasi-isometry
Quotient space (topology)
Real projective space
Regularization (mathematics)
Representation theory
Riemann surface
Riemannian manifold
Set (mathematics)
Sheaf (mathematics)
Sign (mathematics)
Simplicial complex
Stable homotopy theory
Subgroup
Submanifold
Submersion (mathematics)
Subset
Support (mathematics)
Sylow theorems
Tangent space
Theorem
Topological K-theory
Topological group
Topological manifold
Topological space
Topology
Torsion sheaf
Transversality (mathematics)
Unification (computer science)
Vector bundle
Whitehead torsion
Zariski topology
Zorn's lemma
ISBN 1-4008-8258-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Foreword -- Program of the Conference -- Mathematical descendants of William Browder -- The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen-Macaulay / Adem, Alejandro / Milgram, R. James -- Algebraic Geometric Invariants for Homotopy Actions / Assadi, Amir H. -- Algebraic K-Theory of Local Number Fields: The Unramified Case / Bokstedt, M. / Madsen, I. -- The Mapping Cone and Cylinder of a Stratified Map / Cappell, Sylvain E. / Shaneson, Julius L. -- Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds / Cappell, Sylvain / Weinberger, Shmuel -- Finite K (π, 1)s for Artin Groups / Charney, Ruth / Davis, Michael W. -- Double Point Manifolds of Immersions of Spheres in Euclidean Space / Eccles, Peter J. -- Controlled Linear Algebra / Freedman, Michael H. / Wang, Zhenghan -- Non-Linear Similarity Revisited / Hambleton, Ian / Pedersen, Erik K. -- On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces / Hausmann, Jean-Claude -- Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert's Fifth Problem / Illman, Sören -- Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks / Katz, Gabriel -- Stable Prime Decompositions of Four-Manifolds / Kreck, Matthias / Luck, Wolfgang / Teichner, Peter -- Smooth Correspondences / Morava, Jack -- Simply Connected 6-Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space / Puppe, Volker -- Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse / Quinn, Frank -- Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View -- Exterior d, the Local Degree, and Smoothability / Sullivan, Dennis -- Contributors
Record Nr. UNINA-9910154749503321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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