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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
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