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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.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
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