Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander |
Autore | Friedlander Eric M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (193 pages) |
Disciplina | 514/.24 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Homotopy theory
Schemes (Algebraic geometry) Homology theory |
Soggetto non controllato |
Abelian group
Adams operation Adjoint functors Alexander Grothendieck Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number theory Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Automorphism Base change Cap product Cartesian product Closed immersion Codimension Coefficient Cohomology Comparison theorem Complex number Complex vector bundle Connected component (graph theory) Connected space Coprime integers Corollary Covering space Derived functor Dimension (vector space) Disjoint union Embedding Existence theorem Ext functor Exterior algebra Fiber bundle Fibration Finite field Finite group Free group Functor Fundamental group Galois cohomology Galois extension Geometry Grothendieck topology Homogeneous space Homological algebra Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Integral domain Intersection (set theory) Inverse limit Inverse system K-theory Leray spectral sequence Lie group Local ring Mapping cylinder Natural number Natural transformation Neighbourhood (mathematics) Newton polynomial Noetherian ring Open set Opposite category Pointed set Presheaf (category theory) Reductive group Regular local ring Relative homology Residue field Riemann surface Root of unity Serre spectral sequence Shape theory (mathematics) Sheaf (mathematics) Sheaf cohomology Sheaf of spectra Simplex Simplicial set Special case Spectral sequence Surjective function Theorem Topological K-theory Topological space Topology Tubular neighborhood Vector bundle Weak equivalence (homotopy theory) Weil conjectures Weyl group Witt vector Zariski topology |
ISBN | 1-4008-8149-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154744803321 |
Friedlander Eric M.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Lescop Christine <1966->
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Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
Lescop Christine <1966->
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Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
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Lo trovi qui: Univ. Federico II | ||
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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 |
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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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 |
Milnor John
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow |
Autore | Mostow G. Daniel |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (205 pages) |
Disciplina | 516/.36 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Riemannian manifolds
Symmetric spaces Lie groups Rigidity (Geometry) |
Soggetto non controllato |
Addition
Adjoint representation Affine space Approximation Automorphism Axiom Big O notation Boundary value problem Cohomology Compact Riemann surface Compact space Conjecture Constant curvature Corollary Counterexample Covering group Covering space Curvature Diameter Diffeomorphism Differentiable function Dimension Direct product Division algebra Ergodicity Erlangen program Existence theorem Exponential function Finitely generated group Fundamental domain Fundamental group Geometry Half-space (geometry) Hausdorff distance Hermitian matrix Homeomorphism Homomorphism Hyperplane Identity matrix Inner automorphism Isometry group Jordan algebra Matrix multiplication Metric space Morphism Möbius transformation Normal subgroup Normalizing constant Partially ordered set Permutation Projective space Riemann surface Riemannian geometry Sectional curvature Self-adjoint Set function Smoothness Stereographic projection Subgroup Subset Summation Symmetric space Tangent space Tangent vector Theorem Topology Tubular neighborhood Two-dimensional space Unit sphere Vector group Weyl group |
ISBN | 1-4008-8183-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- §1. Introduction -- §2. Algebraic Preliminaries -- §3. The Geometry of χ : Preliminaries -- §4. A Metric Definition of the Maximal Boundary -- §5. Polar Parts -- §6. A Basic Inequality -- §7. Geometry of Neighboring Flats -- §8. Density Properties of Discrete Subgroups -- §8. Density Properties of Discrete Subgroups -- § 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature -- §11. Polar Regular Elements in Co-Compact Γ -- § 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements -- §13. The Basic Approximation -- §14. The Map ∅̅ -- §15. The Boundary Map ∅0 -- §16. Tits Geometries -- §17. Rigidity for R-rank > 1 -- §18. The Restriction to Simple Groups -- §19. Spaces of R-rank 1 -- §20. The Boundary Semi-Metric -- §21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles -- §22. The Effect of Ergodicity -- §23. R-Rank 1 Rigidity Proof Concluded -- §24. Concluding Remarks -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154743303321 |
Mostow G. Daniel
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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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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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 |
Eisenbud David
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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