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.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Combinatorial Group Theory and Topology. (AM-111), Volume 111 / / John R. Stallings, S. M. Gersten |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (565 pages) : illustrations |
Disciplina | 512/.22 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Combinatorial group theory
Topology |
Soggetto non controllato |
Abelian group
Algebraic equation Algebraic integer Automorphism Basis (linear algebra) Betti number Cayley graph Cayley–Hamilton theorem Characteristic polynomial Characteristic subgroup Characterization (mathematics) Classifying space Combinatorial group theory Combinatorics Commutative algebra Commutative property Commutator subgroup Compactification (mathematics) Complement (set theory) Conformal map Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coprime integers Coset Coxeter group Cyclic group Cyclic permutation Degeneracy (mathematics) Dehn's lemma Diagram (category theory) Dirac delta function Disk (mathematics) Epimorphism Equation Euclidean group Finite group Finitely generated abelian group Finitely generated group Free abelian group Free group Freiheitssatz Fuchsian group Function (mathematics) Fundamental domain Fundamental group Fundamental lemma (Langlands program) G-module General linear group Generating set of a group Geodesic Graph (discrete mathematics) Graph of groups Graph product Group theory Haken manifold Harmonic analysis Homological algebra Homology (mathematics) Homomorphism Homotopy Hurwitz's theorem (number theory) Hyperbolic 3-manifold Identity theorem Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Intersection number (graph theory) Intersection number Invertible matrix Jacobian matrix and determinant Knot theory Limit point Mapping class group Mapping cone (homological algebra) Mathematical induction Module (mathematics) Parity (mathematics) Poincaré conjecture Prime number Pullback (category theory) Quotient group Representation theory Residually finite group Riemann surface Seifert–van Kampen theorem Separatrix (mathematics) Set theory Simplicial complex Sphere theorem (3-manifolds) Sphere theorem Subgroup Sylow theorems Theorem Topology Union (set theory) Uniqueness theorem Variable (mathematics) Word problem (mathematics) |
ISBN | 1-4008-8208-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. Combinatorial Group Theory -- PROBLEMS IN COMBINATORIAL GROUP THEORY / Lyndon, Roger -- POINCARÉ DUALITY GROUPS OF DIMENSION TWO ARE SURFACE GROUPS / Eckmann, Beno -- HOW TO GENERALIZE ONE-RELATOR GROUP THEORY / Howie, James -- GRAPHICAL THEORY OF AUTOMORPHISMS OF FREE GROUPS / Stallings, John R. -- PEAK REDUCTION AND AUTOMORPHISMS OF FREE GROUPS AND FREE PRODUCTS / Collins, Donald J . -- NONSINGULAR EQUATIONS OF SMALL WEIGHT OVER GROUPS / Gersten, S. M. -- GRAPH-THEORETIC LEMMA AND GROUP-EMBEDDINGS / Stallings, John R. -- THE TODD-COXETER PROCESS, USING GRAPHS / Stallings, John R. / Wolf, A. Royce -- A SUBGROUP THEOREM FOR PREGROUPS / Rimlinger, Frank -- GROUPS WITH A RATIONAL CROSS-SECTION / Gilman, Robert H. -- ON THE RATIONAL GROWTH OF VIRTUALLY NILPOTENT GROUPS / Benson, Max -- SJOGREN'S THEOREM FOR DIMENSION SUBGROUPS - THE METABELIAN CASE -- ON GROUP PRESENTATIONS, COPRODUCTS AND INVERSES / Craggs, Robert / Howie, James -- ON COMPLEXES DOMINATED BY A TWO-COMPLEX / Ratcliffe, John G. -- SUBCOMPLEXES OF TWO-COMPLEXES AND PROJECTIVE CROSSED MODULES / Dyer, Micheal -- LENGTH FUNCTIONS OF GROUP ACTIONS ON A-TREES / Alperin, Roger / Bass, Hyman -- II. Very Low Dimensional Topology -- RESIDUAL FINITENESS FOR 3-MANIFOLDS / Hempel, John -- THE NIELSEN-THURSTON THEORY OF SURFACE AUTOMORPHISMS / Bleiler, Steven A. -- WHITEHEAD GROUPS OF CERTAIN HYPERBOLIC MANIFOLDS, II / Nicas, A. J / Stark, C.W. -- CHARACTERIZATION OF FINITE SUBGROUPS OF THE MAPPING-CLASS GROUP / Gilman, Jane -- A SEQUENCE OF PSEUDO-ANOSOV DIFFEOMORPHISMS / Neuwirth, L. / Patterson, N. -- DEHN'S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES / Birman, Joan S. / Series, Caroline -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: I / Cohen, Marshall / Lustig, Martin -- PATHS OF GEODESICS AND GEOMETRIC INTERSECTION NUMBERS: II / Lustig, Martin -- SELECTED PROBLEMS / Gersten, S. M. -- Backmatter |
Record Nr. | UNINA-9910154748903321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (456 pages) : illustrations |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Riemann surfaces
Discontinuous groups |
Soggetto non controllato |
Abelian variety
Adjunction (field theory) Affine space Algebraic curve Algebraic structure Analytic function Arithmetic genus Automorphism Bernhard Riemann Boundary (topology) Cauchy sequence Cauchy–Schwarz inequality Cayley–Hamilton theorem Closed geodesic Combination Commutative diagram Commutator subgroup Compact Riemann surface Complex dimension Complex manifold Complex multiplication Complex space Complex torus Congruence subgroup Conjugacy class Convex set Cyclic group Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differential form Dimension (vector space) Disjoint sets E7 (mathematics) Endomorphism Equation Equivalence class Euclidean space Existence theorem Existential quantification Finite group Finitely generated group Fuchsian group Fundamental domain Fundamental lemma (Langlands program) Fundamental polygon Galois extension Holomorphic function Homeomorphism Homology (mathematics) Homomorphism Hurwitz's theorem (number theory) Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Irreducibility (mathematics) Isomorphism class Isomorphism theorem Jacobian variety Jordan curve theorem Kleinian group Limit point Mapping class group Metric space Monodromy Monomorphism Möbius transformation Non-Euclidean geometry Orthogonal trajectory Permutation Polynomial Power series Projective variety Quadratic differential Quadric Quasi-projective variety Quasiconformal mapping Quotient space (topology) Rectangle Riemann mapping theorem Riemann surface Schwarzian derivative Simply connected space Simultaneous equations Special case Subgroup Subsequence Surjective function Symmetric space Tangent space Teichmüller space Theorem Topological space Topology Uniqueness theorem Unit disk Variable (mathematics) Winding number Word problem (mathematics) |
ISBN | 1-4008-8164-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE / Greenberg, L. -- CONTENTS -- CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS / Abikoff, William -- ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES / Accola, Robert D. M. -- SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION / Ahlfors, Lars V. -- FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS / Beardon, A. F. -- SPACES OF DEGENERATING RIEMANN SURFACES / Bers, Lipman -- MAPPING CLASS GROUPS OF SURFACES: A SURVEY / Birman, Joan S. -- A NOTE ON L2 ( Γ G ) / Chen, Su-shing -- ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMÜLLER SPACES / Chu, T. -- SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS / Cohn, Harvey -- ON THE CARATHÉODORY METRIC IN TEICHMÜLLER SPACES / Earle, Clifford J. -- SOME REFINEMENTS OF THE POINCARÉ PERIOD RELATION / Ehrenpreis, L. / Farkas, H. M. -- REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES / Farkas, Hershel M. -- THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD / Fine, Benjamin -- QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY / Gehring, F. W. / Kelly, J. C. -- ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES / Gilman, Jane -- MAXIMAL GROUPS AND SIGNATURES / Greenberg, Leon -- COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS / Greenberg, Leon -- CHABAUTY SPACES OF DISCRETE GROUPS / Harvey, William -- MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS / Hejhal, Dennis A. -- COLLARS ON RIEMANN SURFACES / Keen, Linda -- DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS / Kiremidjian, Garo K. -- ON THE A (Γ ) ⊂ Bq(Γ ) CONJECTURE FOR INFINITELY GENERATED GROUPS / Lehner, Joseph -- THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES / Macbeath, A. M. -- MODULAR GROUPS AND FIBER SPACES OVER TEICHMÜLLER SPACES / Maclachlan, C. -- UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARÉ METRIC / Marden, Albert -- REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES / Martens, Henrik H. -- INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS / Maskit, Bernard -- POLYNOMIAL APPROXIMATION IN THE BERS SPACES / Metzger, Thomas / Sheingorn, Mark -- SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS / Rauch, Harry E. -- ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS / Reich, Edgar -- SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES / Rüedy, Reto A. -- ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS / Strebel, Kurt -- THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP / Sturm, Jacob / Shinnar, Meir -- Backmatter |
Record Nr. | UNINA-9910154754003321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres |
Autore | Munkres James R. |
Edizione | [Revised edition.] |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (132 pages) : illustrations |
Disciplina | 513.83 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Differential topology |
Soggetto non controllato |
Addition
Affine transformation Algebraic topology Analytic manifold Approximation Barycentric coordinate system Barycentric subdivision Basis (linear algebra) Brouwer fixed-point theorem CR manifold Centroid Chain rule Closed set Combinatorics Compact space Conjecture Continuous function Convex set Coordinate system Corollary Degeneracy (mathematics) Diameter Diffeomorphism Differentiable function Differentiable manifold Differential topology Dimension (vector space) Dimension theory (algebra) Dimension theory Disjoint sets Elementary proof Empty set Equation Euclidean space Existential quantification Function composition Fundamental theorem General topology Geometry Grassmannian Homeomorphism Homotopy Hyperplane Identity matrix Inclusion map Integer Intersection (set theory) Invariance of domain Jacobian matrix and determinant Line segment Linear algebra Linear equation Linear map Locally compact space Manifold Mathematical induction Matrix multiplication Metrization theorem Natural number Number theory Open set Partial derivative Partition of unity Polyhedron Polytope Regular homotopy Remainder Scientific notation Secant Similarity (geometry) Simplex Simplicial complex Smoothness Special case Submanifold Subset Tangent bundle Tangent vector Theorem Thickness (graph theory) Topological manifold Topology Trigonometric functions Unit cube Word problem (mathematics) |
ISBN | 1-4008-8265-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Differentiable Manifolds -- Chapter II. Triangulations of Differentiable Manifolds -- References -- Index of terms -- Backmatter |
Record Nr. | UNINA-9910154744903321 |
Munkres James R.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / / Charles F. Miller |
Autore | Miller Charles F. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (121 pages) |
Disciplina | 512/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Group theory
Logic, Symbolic and mathematical |
Soggetto non controllato |
Abelian group
Betti number Characteristic function (probability theory) Characterization (mathematics) Combinatorial group theory Conjecture Conjugacy class Conjugacy problem Contradiction Corollary Cyclic permutation Decision problem Diffeomorphism Direct product Direct proof Effective method Elementary class Embedding Enumeration Epimorphism Equation Equivalence relation Exact sequence Existential quantification Finite group Finite set Finitely generated group Finitely presented Free group Free product Fundamental group Fundamental theorem Group (mathematics) Group theory Gödel numbering Homomorphism Homotopy Inner automorphism Markov property Mathematical logic Mathematical proof Mathematics Monograph Natural number Nilpotent group Normal subgroup Notation Permutation Polycyclic group Presentation of a group Quotient group Recursive set Requirement Residually finite group Semigroup Simple set Simplicial complex Solvable group Statistical hypothesis testing Subgroup Theorem Theory Topology Transitive relation Triviality (mathematics) Truth table Turing degree Turing machine Without loss of generality Word problem (mathematics) |
ISBN | 1-4008-8178-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. PROPERTIES OF BRITTON EXTENSIONS -- CHAPTER III. UNSOLVABILITY RESULTS FOR RESIDUALLY FINITE GROUPS -- CHAPTER IV. THE WORD AND CONJUGACY PROBLEMS FOR CERTAIN ELEMENTARY GROUPS -- CHAPTER V. ON THE ISOMORPHISM PROBLEM FOR GROUPS -- LIST OF REFERENCES -- INDEX OF SYMBOLS -- INDEX |
Record Nr. | UNINA-9910154751403321 |
Miller Charles F.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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