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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.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Neuwirth Lee Paul
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Kauffman Louis H.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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