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Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
Autore Neuwirth Lee Paul
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (120 pages) : illustrations
Disciplina 513.8
Collana Annals of Mathematics Studies
Soggetto topico Knot theory
Soggetto non controllato Abelian group
Alexander duality
Alexander polynomial
Algebraic theory
Algorithm
Analytic continuation
Associative property
Automorphism
Axiom
Bijection
Binary relation
Calculation
Central series
Characterization (mathematics)
Cobordism
Coefficient
Cohomology
Combinatorics
Commutator subgroup
Complete theory
Computation
Conjugacy class
Conjugate element (field theory)
Connected space
Connectedness
Coprime integers
Coset
Covering space
Curve
Cyclic group
Dehn's lemma
Determinant
Diagonalization
Diagram (category theory)
Dimension
Direct product
Equivalence class
Equivalence relation
Euclidean space
Euler characteristic
Existential quantification
Fiber bundle
Finite group
Finitely generated module
Frattini subgroup
Free abelian group
Fundamental group
Geometry
Group ring
Group theory
Group with operators
Hausdorff space
Homeomorphism
Homology (mathematics)
Homomorphism
Homotopy group
Homotopy
Identity matrix
Inner automorphism
Interior (topology)
Intersection number (graph theory)
Knot group
Knot theory
Linear combination
Manifold
Mathematical induction
Monomorphism
Morphism
Morse theory
Natural transformation
Non-abelian group
Normal subgroup
Orientability
Permutation
Polynomial
Presentation of a group
Principal ideal domain
Principal ideal
Root of unity
Semigroup
Simplicial complex
Simply connected space
Special case
Square matrix
Subgroup
Subset
Summation
Theorem
Three-dimensional space (mathematics)
Topological space
Topology
Torus knot
Transfinite number
Trefoil knot
Trichotomy (mathematics)
Trivial group
Triviality (mathematics)
Two-dimensional space
Unit vector
Wreath product
ISBN 1-4008-8203-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. NOTATION AND CONVENTIONS -- CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS -- CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX -- CHAPTER V. SUBGROUPS -- CHAPTER VI. REPRESENTATIONS -- CHAPTER VII. AUTOMORPHISMS -- CHAPTER VIII. A GROUP OF GROUPS -- CHAPTER IX. THE CHARACTERIZATION PROBLEM -- CHAPTER X. THE STRENGTH OP THE GROUP -- CHAPTER XI. PROBLEMS -- APPENDIX BY S. Eileriberg -- REFERENCES -- INDEX
Record Nr. UNINA-9910154747703321
Neuwirth Lee Paul  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Neuwirth Lee Paul  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Kauffman Louis H.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Eisenbud David  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui