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Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 / / Joan S. Birman
Braids, Links, and Mapping Class Groups. (AM-82), Volume 82 / / Joan S. Birman
Autore Birman Joan S.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (241 pages) : illustrations
Disciplina 514/.224
Collana Annals of Mathematics Studies
Soggetto topico Braid theory
Knot theory
Representations of groups
Soggetto non controllato Addition
Alexander polynomial
Algebraic structure
Automorphism
Ball (mathematics)
Bijection
Braid group
Braid theory
Branched covering
Burau representation
Calculation
Cartesian coordinate system
Characterization (mathematics)
Coefficient
Combinatorial group theory
Commutative property
Commutator subgroup
Configuration space
Conjugacy class
Corollary
Covering space
Dehn twist
Determinant
Diagram (category theory)
Dimension
Disjoint union
Double coset
Eigenvalues and eigenvectors
Enumeration
Equation
Equivalence class
Exact sequence
Existential quantification
Faithful representation
Finite set
Free abelian group
Free group
Fundamental group
Geometry
Group (mathematics)
Group ring
Groupoid
Handlebody
Heegaard splitting
Homeomorphism
Homomorphism
Homotopy group
Homotopy
Identity element
Identity matrix
Inclusion map
Initial point
Integer matrix
Integer
Knot polynomial
Knot theory
Lens space
Line segment
Line–line intersection
Link group
Low-dimensional topology
Mapping class group
Mathematical induction
Mathematics
Matrix group
Matrix representation
Monograph
Morphism
Natural transformation
Normal matrix
Notation
Orientability
Parity (mathematics)
Permutation
Piecewise linear
Pointwise
Polynomial
Prime knot
Projection (mathematics)
Proportionality (mathematics)
Quotient group
Requirement
Rewriting
Riemann surface
Semigroup
Sequence
Special case
Subgroup
Submanifold
Subset
Symmetric group
Theorem
Theory
Topology
Trefoil knot
Two-dimensional space
Unimodular matrix
Unit vector
Variable (mathematics)
Word problem (mathematics)
ISBN 1-4008-8142-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BRAID GROUPS -- CHAPTER 2. BRAIDS AND LINKS -- CHAPTER 3. MAGNUS REPRESENTATIONS -- CHAPTER 4. MAPPING CLASS GROUPS -- CHAPTER 5. PLATS AND LINKS -- APPENDIX: RESEARCH PROBLEMS -- BIBLIOGRAPHY -- INDEX -- Backmatter
Record Nr. UNINA-9910154753103321
Birman Joan S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
Autore Bak Anthony
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (280 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico K-theory
Modules (Algebra)
Forms (Mathematics)
Soggetto non controllato Abelian group
Addition
Algebraic K-theory
Algebraic topology
Approximation
Arithmetic
Canonical map
Coefficient
Cokernel
Computation
Coprime integers
Coset
Direct limit
Direct product
Division ring
Elementary matrix
Exact sequence
Finite group
Finite ring
Free module
Functor
General linear group
Global field
Group homomorphism
Group ring
Homology (mathematics)
Integer
Invertible matrix
Isomorphism class
K-theory
Linear map
Local field
Matrix group
Maxima and minima
Mayer–Vietoris sequence
Module (mathematics)
Monoid
Morphism
Natural transformation
Normal subgroup
P-group
Parameter
Power of two
Product category
Projective module
Quadratic form
Requirement
Ring of integers
Semisimple algebra
Sesquilinear form
Special case
Steinberg group (K-theory)
Steinberg group
Subcategory
Subgroup
Subspace topology
Surjective function
Theorem
Theory
Topological group
Topological ring
Topology
Torsion subgroup
Triviality (mathematics)
Unification (computer science)
Unitary group
Witt group
ISBN 1-4008-8141-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter
Record Nr. UNINA-9910154747603321
Bak Anthony  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
Autore Neuwirth Lee Paul
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (120 pages) : illustrations
Disciplina 513.8
Collana Annals of Mathematics Studies
Soggetto topico Knot theory
Soggetto non controllato Abelian group
Alexander duality
Alexander polynomial
Algebraic theory
Algorithm
Analytic continuation
Associative property
Automorphism
Axiom
Bijection
Binary relation
Calculation
Central series
Characterization (mathematics)
Cobordism
Coefficient
Cohomology
Combinatorics
Commutator subgroup
Complete theory
Computation
Conjugacy class
Conjugate element (field theory)
Connected space
Connectedness
Coprime integers
Coset
Covering space
Curve
Cyclic group
Dehn's lemma
Determinant
Diagonalization
Diagram (category theory)
Dimension
Direct product
Equivalence class
Equivalence relation
Euclidean space
Euler characteristic
Existential quantification
Fiber bundle
Finite group
Finitely generated module
Frattini subgroup
Free abelian group
Fundamental group
Geometry
Group ring
Group theory
Group with operators
Hausdorff space
Homeomorphism
Homology (mathematics)
Homomorphism
Homotopy group
Homotopy
Identity matrix
Inner automorphism
Interior (topology)
Intersection number (graph theory)
Knot group
Knot theory
Linear combination
Manifold
Mathematical induction
Monomorphism
Morphism
Morse theory
Natural transformation
Non-abelian group
Normal subgroup
Orientability
Permutation
Polynomial
Presentation of a group
Principal ideal domain
Principal ideal
Root of unity
Semigroup
Simplicial complex
Simply connected space
Special case
Square matrix
Subgroup
Subset
Summation
Theorem
Three-dimensional space (mathematics)
Topological space
Topology
Torus knot
Transfinite number
Trefoil knot
Trichotomy (mathematics)
Trivial group
Triviality (mathematics)
Two-dimensional space
Unit vector
Wreath product
ISBN 1-4008-8203-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. NOTATION AND CONVENTIONS -- CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS -- CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX -- CHAPTER V. SUBGROUPS -- CHAPTER VI. REPRESENTATIONS -- CHAPTER VII. AUTOMORPHISMS -- CHAPTER VIII. A GROUP OF GROUPS -- CHAPTER IX. THE CHARACTERIZATION PROBLEM -- CHAPTER X. THE STRENGTH OP THE GROUP -- CHAPTER XI. PROBLEMS -- APPENDIX BY S. Eileriberg -- REFERENCES -- INDEX
Record Nr. UNINA-9910154747703321
Neuwirth Lee Paul  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / / Lee Paul Neuwirth
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / / Lee Paul Neuwirth
Autore Neuwirth Lee Paul
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (352 pages) : illustrations
Disciplina 514.2
Collana Annals of Mathematics Studies
Soggetto topico Knot theory
Group theory
Three-manifolds (Topology)
Soggetto non controllato 3-manifold
3-sphere
Additive group
Alexander duality
Algebraic equation
Algebraic surface
Algebraic variety
Automorphic form
Automorphism
Big O notation
Bilinear form
Borromean rings
Boundary (topology)
Braid group
Cartesian product
Central series
Chain rule
Characteristic polynomial
Coefficient
Cohomological dimension
Commutative ring
Commutator subgroup
Complex Lie group
Complex coordinate space
Complex manifold
Complex number
Conjugacy class
Connected sum
Coprime integers
Coset
Counterexample
Cyclic group
Dedekind domain
Diagram (category theory)
Diffeomorphism
Disjoint union
Divisibility rule
Double coset
Equation
Equivalence class
Euler characteristic
Fiber bundle
Finite group
Fundamental group
Generating set of a group
Graded ring
Graph product
Group ring
Group theory
Groupoid
Heegaard splitting
Holomorphic function
Homeomorphism
Homological algebra
Homology (mathematics)
Homology sphere
Homomorphism
Homotopy group
Homotopy sphere
Homotopy
Hurewicz theorem
Infimum and supremum
Integer matrix
Integer
Intersection number (graph theory)
Intersection theory
Knot group
Knot polynomial
Loop space
Main diagonal
Manifold
Mapping cylinder
Mathematical induction
Meromorphic function
Monodromy
Monomorphism
Multiplicative group
Permutation
Poincaré conjecture
Principal ideal domain
Proportionality (mathematics)
Quotient space (topology)
Riemann sphere
Riemann surface
Seifert fiber space
Simplicial category
Special case
Spectral sequence
Subgroup
Submanifold
Surjective function
Symmetric group
Symplectic matrix
Theorem
Three-dimensional space (mathematics)
Topology
Torus knot
Triangle group
Variable (mathematics)
Weak equivalence (homotopy theory)
ISBN 1-4008-8151-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- INTRODUCTION / Neuwirth, L. -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS / Goldsmith, Deborah L. -- KNOT MODULES / Levine, Jerome -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS / Lomonaco, S. J . -- OCTAHEDRAL KNOT COVERS / Perko, Kenneth A. -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS / Trotter, H. F . -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS / Whitten, Wilbur -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER / Cossey, John / Smythe, N. -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING / Stallings, John R. -- KNOT-LIKE GROUPS / Strasser, Elvira Rapaport -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS / Birman, Joan S. -- BRANCHED CYCLIC COVERINGS / Cappell, Sylvain E. / Shaneson, Julius L. -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) / Milnor, John -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 / Montesinos, Jose M. -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES / Papakyriakopoulos, C. D. -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS / Shalen, Peter B. -- Backmatter
Record Nr. UNINA-9910154752003321
Neuwirth Lee Paul  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
Autore Mumford David
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (221 pages)
Disciplina 516.5
Collana Annals of Mathematics Studies
Soggetto topico Curves, Algebraic
Surfaces, Algebraic
Soggetto non controllato Affine space
Algebraic geometry
Algebraic topology
Algebraically closed field
Binary operation
Chern class
Coherent sheaf
Cohomology
Complex vector bundle
Dense set
Differential form
Direct product
Family of curves
Formal power series
Functor
Generic point
Group ring
Homomorphism
Invertible sheaf
Local ring
Morphism of schemes
Morphism
Nonlinear system
Open set
Pairwise
Polynomial
Power series
Projective space
Rational function
Rational point
Sheaf (mathematics)
Subring
Summation
Symmetric function
Topology
Union (set theory)
Zariski topology
Zero divisor
ISBN 1-4008-8206-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- CONTENTS -- LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED -- LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS -- LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS" -- LECTURE 4. USES OF THE FUNCTOR OF POINTS -- APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES -- LECTURE 5. Pro j AND INVERTIBLE SHEAVES -- APPENDIX TO LECTURE 5 -- LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES -- LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn -- LECTURE 8. FLATTENING STRATIFICATIONS -- LECTURE 9. CARTIER DIVISORS -- LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS -- LECTURE 11. BACK TO THE CLASSICAL CASE -- LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES -- LECTURE 13. LINEAR SYSTEMS AND EXAMPLES -- LECTURE 14. SOME VANISHING THEOREMS -- LECTURE 15. UNIVERSAL FAMILIES OF CURVES -- LECTURE 16. THE METHOD OF CHOW SCHEMES -- LECTURE 17. GOOD CURVES -- LECTURE 18. THE INDEX THEOREM -- LECTURE 19. THE PICARD SCHEME : OUTLINE -- LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE -- LECTURE 21. THE PICARD SCHEME: CONCLUSION -- LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES -- LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER -- LECTURE 24. THE STRUCTURE OF Φ -- LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER -- LECTURE 26. RING SCHEMES; THE WITT SCHEME -- APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26 -- LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p -- WORKS REFERRED TO -- Backmatter
Record Nr. UNINA-9910154747503321
Mumford David  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui