Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman |
Autore | Hillman Jonathan A (Jonathan Arthur), <1947-> |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
Descrizione fisica | 1 online resource (370 p.) |
Disciplina | 514/.224 |
Collana | Series on knots and everything |
Soggetto topico |
Link theory
Invariants Abelian groups |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-60372-4
9786613784414 981-4407-39-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Abelian covers -- pt. 2. Applications : special cases and symmetries -- pt. 3. Free covers, nilpotent quotients and completion. |
Record Nr. | UNINA-9910461791603321 |
Hillman Jonathan A (Jonathan Arthur), <1947-> | ||
Hackensack, N.J., : World Scientific, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman |
Autore | Hillman Jonathan A (Jonathan Arthur), <1947-> |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
Descrizione fisica | 1 online resource (370 p.) |
Disciplina | 514/.224 |
Collana | Series on knots and everything |
Soggetto topico |
Link theory
Invariants Abelian groups |
ISBN |
1-281-60372-4
9786613784414 981-4407-39-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Abelian covers -- pt. 2. Applications : special cases and symmetries -- pt. 3. Free covers, nilpotent quotients and completion. |
Record Nr. | UNINA-9910790330103321 |
Hillman Jonathan A (Jonathan Arthur), <1947-> | ||
Hackensack, N.J., : World Scientific, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Algebraic invariants of links / / Jonathan Hillman |
Autore | Hillman Jonathan A (Jonathan Arthur), <1947-> |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2012 |
Descrizione fisica | 1 online resource (370 p.) |
Disciplina | 514/.224 |
Collana | Series on knots and everything |
Soggetto topico |
Link theory
Invariants Abelian groups |
ISBN |
1-281-60372-4
9786613784414 981-4407-39-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | pt. 1. Abelian covers -- pt. 2. Applications : special cases and symmetries -- pt. 3. Free covers, nilpotent quotients and completion. |
Record Nr. | UNINA-9910816554503321 |
Hillman Jonathan A (Jonathan Arthur), <1947-> | ||
Hackensack, N.J., : World Scientific, 2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz |
Autore | García-Prada O (Oscar), <1960-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (96 p.) |
Disciplina | 514/.224 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Vector bundles
Moduli theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0483-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Parabolic Higgs bundles""; ""1. Definitions and basic facts""; ""2. Deformation theory""; ""3. Parabolic Higgs bundles and gauge theory""; ""Chapter 3. Morse theory on the moduli space""; ""1. The Morse function""; ""2. Fixed points of the S[sup(1)] action on the moduli space""; ""3. Morse indices""; ""4. Rank three parabolic Higgs bundles""; ""5. Laumon's Theorem for parabolic Higgs bundles""; ""Chapter 4. Parabolic triples""; ""1. Definitions and basic facts""; ""2. Parabolic Higgs bundles and parabolic triples""
""3. Extensions and deformations of parabolic triples""""Chapter 5. Critical values and flips""; ""1. Critical values""; ""2. Crossing critical values and universal extensions""; ""3. Flips""; ""Chapter 6. Parabolic triples with r[sub(1)] = 2 and r[sub(2)] = 1""; ""1. Flips""; ""2. Poincare polynomial of moduli of triples""; ""Chapter 7. Critical submanifolds of type (1,1,1)""; ""1. Description of the critical submanifolds""; ""2. The sum for fixed Ï?""; ""3. The sum over Ï?""; ""Chapter 8. Critical submanifolds of type (1,2)""; ""1. Description of the critical submanifolds"" ""2. Morse indices""""3. Critical submanifolds of type (1,1,1)""; ""4. Parabolic triples of fixed determinant""; ""5. Critical submanifolds of type (1,2) and (2,1)""; ""6. Critical submanifolds of type (3)""; ""7. Betti numbers of the fixed determinant moduli space""; ""Bibliography"" |
Record Nr. | UNINA-9910481047203321 |
García-Prada O (Oscar), <1960-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz |
Autore | García-Prada O (Oscar), <1960-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (96 p.) |
Disciplina | 514/.224 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Vector bundles
Moduli theory |
ISBN | 1-4704-0483-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Parabolic Higgs bundles""; ""1. Definitions and basic facts""; ""2. Deformation theory""; ""3. Parabolic Higgs bundles and gauge theory""; ""Chapter 3. Morse theory on the moduli space""; ""1. The Morse function""; ""2. Fixed points of the S[sup(1)] action on the moduli space""; ""3. Morse indices""; ""4. Rank three parabolic Higgs bundles""; ""5. Laumon's Theorem for parabolic Higgs bundles""; ""Chapter 4. Parabolic triples""; ""1. Definitions and basic facts""; ""2. Parabolic Higgs bundles and parabolic triples""
""3. Extensions and deformations of parabolic triples""""Chapter 5. Critical values and flips""; ""1. Critical values""; ""2. Crossing critical values and universal extensions""; ""3. Flips""; ""Chapter 6. Parabolic triples with r[sub(1)] = 2 and r[sub(2)] = 1""; ""1. Flips""; ""2. Poincare polynomial of moduli of triples""; ""Chapter 7. Critical submanifolds of type (1,1,1)""; ""1. Description of the critical submanifolds""; ""2. The sum for fixed Ï?""; ""3. The sum over Ï?""; ""Chapter 8. Critical submanifolds of type (1,2)""; ""1. Description of the critical submanifolds"" ""2. Morse indices""""3. Critical submanifolds of type (1,1,1)""; ""4. Parabolic triples of fixed determinant""; ""5. Critical submanifolds of type (1,2) and (2,1)""; ""6. Critical submanifolds of type (3)""; ""7. Betti numbers of the fixed determinant moduli space""; ""Bibliography"" |
Record Nr. | UNINA-9910788744203321 |
García-Prada O (Oscar), <1960-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Betti numbers of the moduli space of rank 3 parabolic Higgs bundles / / O. García-Prada, P. B. Gothen, V. Muñoz |
Autore | García-Prada O (Oscar), <1960-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (96 p.) |
Disciplina | 514/.224 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Vector bundles
Moduli theory |
ISBN | 1-4704-0483-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Parabolic Higgs bundles""; ""1. Definitions and basic facts""; ""2. Deformation theory""; ""3. Parabolic Higgs bundles and gauge theory""; ""Chapter 3. Morse theory on the moduli space""; ""1. The Morse function""; ""2. Fixed points of the S[sup(1)] action on the moduli space""; ""3. Morse indices""; ""4. Rank three parabolic Higgs bundles""; ""5. Laumon's Theorem for parabolic Higgs bundles""; ""Chapter 4. Parabolic triples""; ""1. Definitions and basic facts""; ""2. Parabolic Higgs bundles and parabolic triples""
""3. Extensions and deformations of parabolic triples""""Chapter 5. Critical values and flips""; ""1. Critical values""; ""2. Crossing critical values and universal extensions""; ""3. Flips""; ""Chapter 6. Parabolic triples with r[sub(1)] = 2 and r[sub(2)] = 1""; ""1. Flips""; ""2. Poincare polynomial of moduli of triples""; ""Chapter 7. Critical submanifolds of type (1,1,1)""; ""1. Description of the critical submanifolds""; ""2. The sum for fixed Ï?""; ""3. The sum over Ï?""; ""Chapter 8. Critical submanifolds of type (1,2)""; ""1. Description of the critical submanifolds"" ""2. Morse indices""""3. Critical submanifolds of type (1,1,1)""; ""4. Parabolic triples of fixed determinant""; ""5. Critical submanifolds of type (1,2) and (2,1)""; ""6. Critical submanifolds of type (3)""; ""7. Betti numbers of the fixed determinant moduli space""; ""Bibliography"" |
Record Nr. | UNINA-9910811733403321 |
García-Prada O (Oscar), <1960-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
Descrizione fisica | 1 online resource (766 p.) |
Disciplina | 514/.224 |
Collana | Contemporary mathematics |
Soggetto topico | Braid theory |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-7666-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Organizing Committee""; ""List of Participants""; ""Introduction""; ""A construction of integrable differential system associated with braid groups""; ""Mapping class groups of surfaces""; ""Automorphic sets and braids and singularities""; ""The operator algebras of the two dimensional Ising model""; ""Artin's braid groups, classical homotopy theory, and sundry other curiosities""; ""Classification of solvorbifolds in dimension three - I""; ""Pure braid groups and products of free groups""; ""Polynomial covering maps""
""Arithmetic analogues of braid groups and Galois representations""""Application of braids to fixed points of surface maps""; ""Statistical mechanics and the Jones polynomial""; ""Hurwitz action and finite quotients of braid groups""; ""Heights of simple loops and pseudo-Anosov homeomorphisms""; ""Linear representations of braid groups and classical Yang-Baxter equations""; ""A survey of Heeke algebras and the Artin braid groups""; ""On divisibility properties of braids associated with algebraic curves""; ""The panorama of polynomials for knots, links and skeins"" ""The structure of deleted symmetric products""""Braid group technique in complex geometry, I: Linearrangements in Cp2""; ""Problems""; ""Polynomials from braids""; ""The Jones polynomial of satellite links about mutants""; ""On the deformation of certain type of algebraic varieties""; ""Braids and discriminants""; ""tk moves on links""; ""Mutually braided open books and new invariants of fibered links""; ""Generalized braid groups and self-energy Feynman integrals""; ""Markov classes in certain finite symplectic representations of braid groups""; ""The braid index of an algebraic link"" ""Markov algebras"" |
Record Nr. | UNINA-9910480882803321 |
Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
Descrizione fisica | 1 online resource (766 p.) |
Disciplina | 514/.224 |
Collana | Contemporary mathematics |
Soggetto topico | Braid theory |
ISBN | 0-8218-7666-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Organizing Committee -- List of Participants -- Introduction -- A construction of integrable differential system associated with braid groups -- Mapping class groups of surfaces -- Automorphic sets and braids and singularities -- The operator algebras of the two dimensional Ising model -- Artin's braid groups, classical homotopy theory, and sundry other curiosities -- Classification of solvorbifolds in dimension three - I -- Pure braid groups and products of free groups -- Polynomial covering maps -- Arithmetic analogues of braid groups and Galois representations -- Application of braids to fixed points of surface maps -- Statistical mechanics and the Jones polynomial -- Hurwitz action and finite quotients of braid groups -- Heights of simple loops and pseudo-Anosov homeomorphisms -- Linear representations of braid groups and classical Yang-Baxter equations -- A survey of Heeke algebras and the Artin braid groups -- On divisibility properties of braids associated with algebraic curves -- The panorama of polynomials for knots, links and skeins -- The structure of deleted symmetric products -- Braid group technique in complex geometry, I: Line Arrangements in Cp2 -- Problems -- Polynomials from braids -- The Jones polynomial of satellite links about mutants -- On the deformation of certain type of algebraic varieties -- Braids and discriminants -- tk moves on links -- Mutually braided open books and new invariants of fibered links -- Generalized braid groups and self-energy Feynman integrals -- Markov classes in certain finite symplectic representations of braid groups -- The braid index of an algebraic link -- Markov algebras. |
Record Nr. | UNINA-9910788786303321 |
Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
Descrizione fisica | 1 online resource (766 p.) |
Disciplina | 514/.224 |
Collana | Contemporary mathematics |
Soggetto topico | Braid theory |
ISBN | 0-8218-7666-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Organizing Committee -- List of Participants -- Introduction -- A construction of integrable differential system associated with braid groups -- Mapping class groups of surfaces -- Automorphic sets and braids and singularities -- The operator algebras of the two dimensional Ising model -- Artin's braid groups, classical homotopy theory, and sundry other curiosities -- Classification of solvorbifolds in dimension three - I -- Pure braid groups and products of free groups -- Polynomial covering maps -- Arithmetic analogues of braid groups and Galois representations -- Application of braids to fixed points of surface maps -- Statistical mechanics and the Jones polynomial -- Hurwitz action and finite quotients of braid groups -- Heights of simple loops and pseudo-Anosov homeomorphisms -- Linear representations of braid groups and classical Yang-Baxter equations -- A survey of Heeke algebras and the Artin braid groups -- On divisibility properties of braids associated with algebraic curves -- The panorama of polynomials for knots, links and skeins -- The structure of deleted symmetric products -- Braid group technique in complex geometry, I: Line Arrangements in Cp2 -- Problems -- Polynomials from braids -- The Jones polynomial of satellite links about mutants -- On the deformation of certain type of algebraic varieties -- Braids and discriminants -- tk moves on links -- Mutually braided open books and new invariants of fibered links -- Generalized braid groups and self-energy Feynman integrals -- Markov classes in certain finite symplectic representations of braid groups -- The braid index of an algebraic link -- Markov algebras. |
Record Nr. | UNINA-9910827451503321 |
Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
|