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An Extension of Casson's Invariant. (AM-126), Volume 126 / / Kevin Walker
| An Extension of Casson's Invariant. (AM-126), Volume 126 / / Kevin Walker |
| Autore | Walker Kevin |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (140 pages) : illustrations |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Invariants |
| Soggetto non controllato |
Absolute value
Andrew Casson Basis (linear algebra) Cohomology Dan Freed Dehn surgery Dehn twist Determinant Diagram (category theory) Disk (mathematics) Elementary proof Fundamental group General position Heegaard splitting Homology sphere Identity matrix Inner product space Lie group Mathematical sciences Morris Hirsch Normal bundle Scientific notation Sequence Surjective function Symplectic geometry Theorem Topology |
| ISBN | 1-4008-8246-X |
| Classificazione | SK 320 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- 0. Introduction -- 1. Topology of Representation Spaces -- 2. Definition of λ -- 3. Various Properties of λ -- 4. The Dehn Surgery Formula -- 5. Combinatorial Definition of λ -- 6. Consequences of the Dehn Surgery Formula -- A. Dedekind Sums -- B. Alexander Polynomials -- Bibliography |
| Record Nr. | UNINA-9910154744603321 |
Walker Kevin
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
| Global surgery formula for the Casson-Walker invariant / / by Christine Lescop |
| Autore | Lescop Christine <1966-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (156 p.) |
| Disciplina | 514/.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Surgery (Topology)
Three-manifolds (Topology) |
| Soggetto non controllato |
3-manifold
Addition Alexander polynomial Ambient isotopy Betti number Casson invariant Change of basis Change of variables Cobordism Coefficient Combination Combinatorics Computation Conjugacy class Connected component (graph theory) Connected space Connected sum Cup product Determinant Diagram (category theory) Disk (mathematics) Empty set Exterior (topology) Fiber bundle Fibration Function (mathematics) Fundamental group Homeomorphism Homology (mathematics) Homology sphere Homotopy sphere Indeterminate (variable) Integer Klein bottle Knot theory Manifold Morphism Notation Orientability Permutation Polynomial Prime number Projective plane Scientific notation Seifert surface Sequence Summation Symmetrization Taylor series Theorem Topology Tubular neighborhood Unlink |
| ISBN |
0-691-02133-3
1-4008-6515-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index |
| Record Nr. | UNINA-9910786748103321 |
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Lescop Christine <1966->
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
| Global surgery formula for the Casson-Walker invariant / / by Christine Lescop |
| Autore | Lescop Christine <1966-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (156 p.) |
| Disciplina | 514/.72 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Surgery (Topology)
Three-manifolds (Topology) |
| Soggetto non controllato |
3-manifold
Addition Alexander polynomial Ambient isotopy Betti number Casson invariant Change of basis Change of variables Cobordism Coefficient Combination Combinatorics Computation Conjugacy class Connected component (graph theory) Connected space Connected sum Cup product Determinant Diagram (category theory) Disk (mathematics) Empty set Exterior (topology) Fiber bundle Fibration Function (mathematics) Fundamental group Homeomorphism Homology (mathematics) Homology sphere Homotopy sphere Indeterminate (variable) Integer Klein bottle Knot theory Manifold Morphism Notation Orientability Permutation Polynomial Prime number Projective plane Scientific notation Seifert surface Sequence Summation Symmetrization Taylor series Theorem Topology Tubular neighborhood Unlink |
| ISBN |
0-691-02133-3
1-4008-6515-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index |
| Record Nr. | UNINA-9910827210603321 |
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Lescop Christine <1966->
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| 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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Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
| Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel |
| Autore | Borel Armand |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (261 pages) : illustrations |
| Disciplina | 512.86 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic topology
Transformation groups |
| Soggetto non controllato |
Abelian group
Addition Algebraic topology Analytic function Armand Borel Big O notation Bijection Chain complex Circle group Codimension Coefficient Cohomology ring Cohomology Commutative diagram Complex number Conjugacy class Connected component (graph theory) Connected space Continuous function Corollary Counterexample Cup product Cyclic group Diffeomorphism Differentiable function Dimension (vector space) Dimension function Dimension Direct product Direct sum Embedding Equivariant map Euclidean space Exact sequence Exponential function Fiber bundle Field of fractions Finite group Finitely generated module Functor Group action H-space Hausdorff space Homeomorphism Homogeneous space Homological algebra Homology (mathematics) Homology sphere Homomorphism Ideal (ring theory) Identity component Inner automorphism Invariant subspace Lie algebra Lie group Linear combination Linearity Locally compact space Manifold Mathematical induction Maximal torus Metatheorem Metric space Module (mathematics) Monotonic function N-sphere Neighbourhood (mathematics) Open set Orientability P-group Paracompact space Partially ordered set Polynomial Presheaf (category theory) Prime ideal Projective space Quotient space (topology) Real variable Riemannian manifold Scientific notation Sheaf (mathematics) Simply connected space Solvable group Special case Spectral sequence Subgroup Subset Support (mathematics) Sylow theorems Tangent vector Theorem Topological group Topological space Torsion subgroup Transpose Unique factorization domain Universal bundle Universal coefficient theorem Vector space Weyl group |
| ISBN | 1-4008-8267-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OP CONTENTS -- INTRODUCTION -- CHAPTER I: COHOMOLOGY MANIFOLDS / Borel, A. -- CHAPTER II: HOMOLOGY AND DUALITY IN GENERALIZED MANIFOLDS / Borel, A. -- CHAPTER III: PERIODIC MAPS VIA SMITH THEORY / Floyd, E. E. -- CHAPTER IV: THE ACTION OF Zp OR T1 : GLOBAL THEOREMS / Borel, A. -- CHAPTER V: THE ACTION OF Zp T1 : LOCAL THEOREMS / Borel, A. -- CHAPTER VI: ISOTROPY SUBGROUPS OP TORAL GROUPS / Floyd, E. E. -- CHAPTER VII: FINITENESS OP NUMBER OF ORBIT TYPES / Bredon, G. E. -- CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS / Palais, R. S. -- CHAPTER IX: ORBITS OF HIGHEST DIMENSION / Montgomery, Deane -- CHAPTER X: THE SPECTRAL SEQUENCE OF A BIFILTERED MODULE, / Borel, A. -- CHAPTER XI: THE SPECTRAL SEQUENCE OF FARY / Borel, A. -- CHAPTER XII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS I / Borel, A. -- CHAPTER XIII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS II / Borel, A. -- CHAPTER XIV: ONE OR W O CLASSES OF ORBITS / Borel, A. -- CHAPTER XV: FIXED POINT SETS AND ORBITS OF COMPLEMENTARY DIMENSION / Bredon, G. E. -- CHAPTER XVI: REMARKS ON THE SPECTRAL SEQUENCE OF A MAP / Borel, A. -- Backmatter |
| Record Nr. | UNINA-9910154746603321 |
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Borel Armand
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
| Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (137 pages) : illustrations |
| Disciplina | 516.35 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Geometry, Algebraic |
| Soggetto non controllato |
3-sphere
Addition Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Analytic manifold Apply Approximation Binary icosahedral group Boundary (topology) Characteristic polynomial Codimension Coefficient Commutator subgroup Commutator Compact group Complex analysis Complex number Complex projective plane Conjecture Contradiction Coordinate space Coordinate system Derivative Differentiable manifold Dimension Directional derivative Euclidean space Euler number Exact sequence Existential quantification Exotic sphere Fiber bundle Fibration Field of fractions Finite group Finite set Finitely generated group Formal power series Free abelian group Free group Fundamental group Geometry Hermitian matrix Hessian matrix Homology (mathematics) Homology sphere Homotopy sphere Homotopy Hopf fibration Hypersurface Icosahedron Implicit function theorem Integer Integral domain Inverse function theorem Knot group Knot theory Line segment Linear combination Linear map Manifold Minor (linear algebra) Morse theory N-sphere Neighbourhood (mathematics) Normal (geometry) Normal subgroup Open set Orientability Parametrization Polynomial Prime ideal Principal ideal Projective space Real number Regular icosahedron Retract Riemannian manifold Second derivative Sign (mathematics) Simply connected space Smoothness Special case Submanifold Subset Surjective function Tangent space Theorem Topological manifold Topology Transcendence degree Tubular neighborhood Unit interval Unit sphere Unit vector Variable (mathematics) Vector field Vector space |
| ISBN | 1-4008-8181-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154743603321 |
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Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann
| Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann |
| Autore | Eisenbud David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (184 pages) : illustration |
| Disciplina | 514.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Link theory
Invariants Curves, Plane Singularities (Mathematics) |
| Soggetto non controllato |
3-sphere
Alexander Grothendieck Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Algebraic surface Algorithm Ambient space Analytic function Approximation Big O notation Call graph Cartesian coordinate system Characteristic polynomial Closed-form expression Cohomology Computation Conjecture Connected sum Contradiction Coprime integers Corollary Curve Cyclic group Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Eigenvalues and eigenvectors Equation Equivalence class Euler number Existential quantification Exterior (topology) Fiber bundle Fibration Foliation Fundamental group Geometry Graph (discrete mathematics) Ground field Homeomorphism Homology sphere Identity matrix Integer matrix Intersection form (4-manifold) Isolated point Isolated singularity Jordan normal form Knot theory Mathematical induction Monodromy matrix Monodromy N-sphere Natural transformation Newton polygon Newton's method Normal (geometry) Notation Pairwise Parametrization Plane curve Polynomial Power series Projective plane Puiseux series Quantity Rational function Resolution of singularities Riemann sphere Riemann surface Root of unity Scientific notation Seifert surface Set (mathematics) Sign (mathematics) Solid torus Special case Stereographic projection Submanifold Summation Theorem Three-dimensional space (mathematics) Topology Torus knot Torus Tubular neighborhood Unit circle Unit vector Unknot Variable (mathematics) |
| ISBN | 1-4008-8192-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Abstract -- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities -- Introduction -- Review -- Preview -- Chapter I: Foundations -- Appendix to Chapter I: Algebraic Links -- Chapter II: Classification -- Chapter III: Invariants -- Chapter IV: Examples -- Chapter V: Relation to Plumbing -- References -- Backmatter |
| Record Nr. | UNINA-9910154742903321 |
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Eisenbud David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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