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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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby |
Autore | Kirby Robion C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (373 pages) : illustrations |
Disciplina | 514/.7 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Manifolds (Mathematics)
Piecewise linear topology Triangulating manifolds |
Soggetto non controllato |
Affine space
Algebraic topology (object) Approximation Associative property Automorphism Big O notation CW complex Calculation Cap product Cartesian product Category of sets Chain complex Classification theorem Classifying space Cobordism Codimension Cofibration Cohomology Connected space Continuous function (set theory) Continuous function Counterexample Diffeomorphism Differentiable manifold Differential structure Differential topology Dimension (vector space) Direct proof Disjoint union Elementary proof Embedding Euclidean space Existence theorem Existential quantification Fiber bundle Fibration General position Geometry Group homomorphism H-cobordism H-space Handle decomposition Handlebody Hauptvermutung Hausdorff space Hilbert cube Homeomorphism group Homeomorphism Homomorphism Homotopy group Homotopy Inclusion map Injective function Invertible matrix K-cell (mathematics) Kan extension Linear subspace Linear topology Manifold Mapping cylinder Mathematical induction Mathematician Metric space Morse theory Neighbourhood (mathematics) Open set Partition of unity Piecewise linear manifold Piecewise linear Poincaré conjecture Polyhedron Principal bundle Product metric Pushout (category theory) Regular homotopy Retract Sheaf (mathematics) Simplicial complex Smoothing Spin structure Stability theory Stable manifold Standard map Submanifold Submersion (mathematics) Subset Surgery exact sequence Surjective function Theorem Topological group Topological manifold Topological space Topology Transversal (geometry) Transversality (mathematics) Transversality theorem Union (set theory) Uniqueness theorem Vector bundle Zorn's lemma |
ISBN | 1-4008-8150-1 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter |
Record Nr. | UNINA-9910154753803321 |
Kirby Robion C.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Non-metrisable manifolds / David Gauld |
Autore | Gauld, David |
Pubbl/distr/stampa | Singapore [etc.], : Springer, 2014 |
Descrizione fisica | XVI, 203 p. : ill. ; 24 cm |
Soggetto topico |
54E35 - Metric spaces, metrizability [MSC 2020]
57Nxx - Topological manifolds [MSC 2020] 37Bxx - Topological dynamics [MSC 2020] |
Soggetto non controllato |
Bagpipe Theorem
Brown’s Monotone Union Theorem Continuum Hypothesis Dynamics on Manifolds Exotic Structures on Long Plane Foliations of the Plane Foliations on Manifolds Handlebody Long Line Metrisability Criteria for Manifolds Non-Hausdorff Manifolds Non-metrisable Manifolds Perfect Normality versus Metrisability Prüfer Manifold Smooth manifolds Type I Manifold |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0104381 |
Gauld, David
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Singapore [etc.], : Springer, 2014 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Non-metrisable manifolds / David Gauld |
Autore | Gauld, David |
Pubbl/distr/stampa | Singapore [etc.], : Springer, 2014 |
Descrizione fisica | XVI, 203 p. : ill. ; 24 cm |
Soggetto topico |
37Bxx - Topological dynamics [MSC 2020]
54E35 - Metric spaces, metrizability [MSC 2020] 57Nxx - Topological manifolds [MSC 2020] |
Soggetto non controllato |
Bagpipe Theorem
Brown’s Monotone Union Theorem Continuum Hypothesis Dynamics on Manifolds Exotic Structures on Long Plane Foliations of the Plane Foliations on Manifolds Handlebody Long Line Metrisability Criteria for Manifolds Non-Hausdorff Manifolds Non-metrisable Manifolds Perfect Normality versus Metrisability Prüfer Manifold Smooth manifolds Type I Manifold |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00104381 |
Gauld, David
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Singapore [etc.], : Springer, 2014 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
Descrizione fisica | 1 online resource (446 p.) |
Disciplina | 514.72 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Surgery (Topology) |
Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
ISBN |
0-691-08814-4
1-4008-6521-2 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
Record Nr. | UNINA-9910786749403321 |
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
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Lo trovi qui: Univ. Federico II | ||
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Surveys on surgery theory . Volume 2 : papers dedicated to C.T.C. Wall / / edited by Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 |
Descrizione fisica | 1 online resource (446 p.) |
Disciplina | 514.72 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Surgery (Topology) |
Soggetto non controllato |
Algebraic topology (object)
Algebraic topology Ambient isotopy Assembly map Atiyah–Hirzebruch spectral sequence Atiyah–Singer index theorem Automorphism Banach algebra Borsuk–Ulam theorem C*-algebra CW complex Calculation Category of manifolds Characterization (mathematics) Chern class Cobordism Codimension Cohomology Compactification (mathematics) Conjecture Contact geometry Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differentiable manifold Differential geometry Dirac operator Disk (mathematics) Donaldson theory Duality (mathematics) Embedding Epimorphism Excision theorem Exponential map (Riemannian geometry) Fiber bundle Fibration Fundamental group Group action Group homomorphism H-cobordism Handle decomposition Handlebody Homeomorphism group Homeomorphism Homology (mathematics) Homomorphism Homotopy extension property Homotopy fiber Homotopy group Homotopy Hypersurface Intersection form (4-manifold) Intersection homology Isomorphism class K3 surface L-theory Limit (category theory) Manifold Mapping cone (homological algebra) Mapping cylinder Mostow rigidity theorem Orthonormal basis Parallelizable manifold Poincaré conjecture Product metric Projection (linear algebra) Pushout (category theory) Quaternionic projective space Quotient space (topology) Resolution of singularities Ricci curvature Riemann surface Riemannian geometry Riemannian manifold Ring homomorphism Scalar curvature Semisimple algebra Sheaf (mathematics) Sign (mathematics) Special case Sub"ient Subgroup Submanifold Support (mathematics) Surgery exact sequence Surgery obstruction Surgery theory Symplectic geometry Symplectic vector space Theorem Topological conjugacy Topological manifold Topology Transversality (mathematics) Transversality theorem Vector bundle Waldhausen category Whitehead torsion Whitney embedding theorem Yamabe invariant |
ISBN |
0-691-08814-4
1-4008-6521-2 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface / Cappell, Sylvain / Ranicki, Andrew / Rosenberg, Jonathan -- Surgery theory today - what it is and where it's going / Rosenberg, Jonathan -- Reflections on C. T. C. Wall's work on cobordism / Rosenberg, Jonathan -- A survey of Wall's finiteness obstruction / Ferry, Steve / Ranicki, Andrew -- An introduction to algebraic surgery / Ranicki, Andrew -- Automorphisms of manifolds / Weiss, Michael / Williams, Bruce -- Spaces of smooth embeddings, disjunction and surgery / Goodwillie, Thomas G. / Klein, John R. / Weiss, Michael S. -- Surgery theoretic methods in group actions / Cappell, Sylvain / Weinbergert, Shmuel -- Surgery and stratified spaces / Hughes, Bruce / Weinberger, Shmuel -- Metrics of positive scalar curvature and connections with surgery / Rosenberg, Jonathan / Stolz, Stephan -- A survey of 4-manifolds through the eyes of surgery / Kirby, Robion C. / Taylor, Laurence R. -- Problems in 4-dimensional topology / Quinn, Frank |
Record Nr. | UNINA-9910811911303321 |
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2001 | ||
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Lo trovi qui: Univ. Federico II | ||
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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 / / Louis H. Kauffman, Sostenes Lins |
Autore | Kauffman Louis H. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (308 pages) : illustrations |
Disciplina | 514/.224 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Knot theory
Three-manifolds (Topology) Invariants |
Soggetto non controllato |
3-manifold
Addition Algorithm Ambient isotopy Axiom Backslash Barycentric subdivision Bijection Bipartite graph Borromean rings Boundary parallel Bracket polynomial Calculation Canonical form Cartesian product Cobordism Coefficient Combination Commutator Complex conjugate Computation Connected component (graph theory) Connected sum Cubic graph Diagram (category theory) Dimension Disjoint sets Disjoint union Elaboration Embedding Equation Equivalence class Explicit formula Explicit formulae (L-function) Factorial Fundamental group Graph (discrete mathematics) Graph embedding Handlebody Homeomorphism Homology (mathematics) Identity element Intersection form (4-manifold) Inverse function Jones polynomial Kirby calculus Knot theory Line segment Linear independence Matching (graph theory) Mathematical physics Mathematical proof Mathematics Maxima and minima Monograph Natural number Network theory Notation Numerical analysis Orientability Orthogonality Pairing Pairwise Parametrization Parity (mathematics) Partition function (mathematics) Permutation Poincaré conjecture Polyhedron Quantum group Quantum invariant Recoupling Recursion Reidemeister move Result Roger Penrose Root of unity Scientific notation Sequence Significant figures Simultaneous equations Smoothing Special case Sphere Spin network Summation Symmetric group Tetrahedron The Geometry Center Theorem Theory Three-dimensional space (mathematics) Time complexity Tubular neighborhood Two-dimensional space Vector field Vector space Vertex (graph theory) Winding number Writhe |
ISBN | 1-4008-8253-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Bracket Polynomial, Temperley-Lieb Algebra -- Chapter 3. Jones-Wenzl Projectors -- Chapter 4. The 3-Vertex -- Chapter 5. Properties of Projectors and 3-Vertices -- Chapter 6. θ-Evaluations -- Chapter 7. Recoupling Theory Via Temperley-Lieb Algebra -- Chapter 8. Chromatic Evaluations and the Tetrahedron -- Chapter 9. A Summary of Recoupling Theory -- Chapter 10. A 3-Manifold Invariant by State Summation -- Chapter 11. The Shadow World -- Chapter 12. The Witten-Reshetikhin- Turaev Invariant -- Chapter 13. Blinks ↦ 3-Gems: Recognizing 3-Manifolds -- Chapter 14. Tables of Quantum Invariants -- Bibliography -- Index |
Record Nr. | UNINA-9910154743003321 |
Kauffman Louis H.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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