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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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor
Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor
Autore Hirzebruch Friedrich
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (197 pages)
Disciplina 510
Collana Annals of Mathematics Studies
Soggetto topico Mathematics
Soggetto non controllato A priori estimate
Addition
Additive group
Affine space
Algebraic geometry
Algebraic group
Atiyah–Singer index theorem
Bernoulli number
Boundary value problem
Bounded operator
C*-algebra
Canonical transformation
Cauchy problem
Characteristic class
Clifford algebra
Coefficient
Cohomology
Commutative property
Commutative ring
Complex manifold
Complex number
Complex vector bundle
Dedekind sum
Degenerate bilinear form
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Ellipse
Elliptic operator
Equation
Euler characteristic
Euler number
Existence theorem
Exotic sphere
Finite difference
Finite group
Fourier integral operator
Fourier transform
Fourier
Fredholm operator
Hardy space
Hilbert space
Holomorphic vector bundle
Homogeneous coordinates
Homomorphism
Homotopy
Hyperbolic partial differential equation
Identity component
Integer
Integral transform
Isomorphism class
John Milnor
K-theory
Lebesgue measure
Line bundle
Local ring
Mathematics
Maximal ideal
Modular form
Module (mathematics)
Monoid
Normal bundle
Number theory
Open set
Parametrix
Parity (mathematics)
Partial differential equation
Piecewise linear manifold
Poisson bracket
Polynomial ring
Polynomial
Prime number
Principal part
Projective space
Pseudo-differential operator
Quadratic form
Rational variety
Real number
Reciprocity law
Resolution of singularities
Riemann–Roch theorem
Shift operator
Simply connected space
Special case
Square-integrable function
Subalgebra
Submanifold
Support (mathematics)
Surjective function
Symmetric bilinear form
Symplectic vector space
Tangent space
Theorem
Topology
Variable (mathematics)
Vector bundle
Vector space
Winding number
ISBN 1-4008-8169-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- THE SIGNATURE THEOREM: REMINISCENCES AND RECREATION / Hirzebruch, F. -- THE CALCULUS OF FOURIER INTEGRAL OPERATORS / Hormander, Lars -- SYMMETRIC INNER PRODUCTS IN CHARACTERISTIC 2 / Milnor, John -- COHOMOLOGIE DES GROUPES DISCRETS / Serre, Jean-Pierre -- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS / Singer, I. M.
Record Nr. UNINA-9910154751003321
Hirzebruch Friedrich  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (137 pages) : illustrations
Disciplina 516.35
Collana Annals of Mathematics Studies
Soggetto topico Geometry, Algebraic
Soggetto non controllato 3-sphere
Addition
Alexander polynomial
Algebraic curve
Algebraic equation
Algebraic geometry
Analytic manifold
Apply
Approximation
Binary icosahedral group
Boundary (topology)
Characteristic polynomial
Codimension
Coefficient
Commutator subgroup
Commutator
Compact group
Complex analysis
Complex number
Complex projective plane
Conjecture
Contradiction
Coordinate space
Coordinate system
Derivative
Differentiable manifold
Dimension
Directional derivative
Euclidean space
Euler number
Exact sequence
Existential quantification
Exotic sphere
Fiber bundle
Fibration
Field of fractions
Finite group
Finite set
Finitely generated group
Formal power series
Free abelian group
Free group
Fundamental group
Geometry
Hermitian matrix
Hessian matrix
Homology (mathematics)
Homology sphere
Homotopy sphere
Homotopy
Hopf fibration
Hypersurface
Icosahedron
Implicit function theorem
Integer
Integral domain
Inverse function theorem
Knot group
Knot theory
Line segment
Linear combination
Linear map
Manifold
Minor (linear algebra)
Morse theory
N-sphere
Neighbourhood (mathematics)
Normal (geometry)
Normal subgroup
Open set
Orientability
Parametrization
Polynomial
Prime ideal
Principal ideal
Projective space
Real number
Regular icosahedron
Retract
Riemannian manifold
Second derivative
Sign (mathematics)
Simply connected space
Smoothness
Special case
Submanifold
Subset
Surjective function
Tangent space
Theorem
Topological manifold
Topology
Transcendence degree
Tubular neighborhood
Unit interval
Unit sphere
Unit vector
Variable (mathematics)
Vector field
Vector space
ISBN 1-4008-8181-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY
Record Nr. UNINA-9910154743603321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui