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Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman
| 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
| 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 [[electronic resource] /] / Jonathan Hillman
| 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-9910816554503321 |
|
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
| Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman |
| Autore | Hillman Jonathan A (Jonathan Arthur), <1947-> |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 514.224 |
| Collana | K & E series on knots and everything |
| Soggetto topico |
Link theory
Invariants Abelian groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-664-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part 1. Abelian Covers ; Chapter 1. Links ; 1.1. Basic notions ; 1.2. The link group ; 1.3. Homology boundary links ; 1.4. Z/2Z-boundary links ; 1.5. Isotopy concordance and /-equivalence ; 1.6. Link homotopy and surgery ; 1.7. Ribbon links
1.8. Link-symmetric groups 1.9. Link composition ; Chapter 2. Homology and Duality in Covers ; 2.1. Homology and cohomology with local coefficients ; 2.2. Covers of link exteriors ; 2.3. Poincare duality and the Blanchfield pairings ; 2.4. The total linking number cover 2.5. The maximal abelian cover 2.6. Concordance ; 2.7. Additivity ; 2.8. The Seifert approach for boundary 1-links ; 2.9. Signatures ; Chapter 3. Determinantal Invariants ; 3.1. Elementary ideals ; 3.2. The Elementary Divisor Theorem ; 3.3. Extensions 3.4. Reidemeister-Franz torsion 3.5. Steinitz-Fox-Smythe invariants ; 3.6. 1- and 2-dimensional rings ; 3.7. Bilinear pairings ; Chapter 4. The Maximal Abelian Cover ; 4.1. Metabelian groups and the Crowell sequence ; 4.2. Free metabelian groups ; 4.3. Link module sequences 4.4. Localization of link module sequences 4.5. Chen groups ; 4.6. Applications to links ; 4.7. Chen groups nullity and longitudes ; 4.8. I-equivalence ; 4.9. The sign-determined Alexander polynomial ; 4.10. Higher dimensional links ; Chapter 5. Sublinks and Other Abelian Covers 5.1. The Torres conditions |
| Record Nr. | UNINA-9910451334603321 |
|
Hillman Jonathan A (Jonathan Arthur), <1947->
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman
| Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman |
| Autore | Hillman Jonathan A (Jonathan Arthur), <1947-> |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 514.224 |
| Collana | K & E series on knots and everything |
| Soggetto topico |
Link theory
Invariants Abelian groups |
| ISBN | 981-277-664-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part 1. Abelian Covers ; Chapter 1. Links ; 1.1. Basic notions ; 1.2. The link group ; 1.3. Homology boundary links ; 1.4. Z/2Z-boundary links ; 1.5. Isotopy concordance and /-equivalence ; 1.6. Link homotopy and surgery ; 1.7. Ribbon links
1.8. Link-symmetric groups 1.9. Link composition ; Chapter 2. Homology and Duality in Covers ; 2.1. Homology and cohomology with local coefficients ; 2.2. Covers of link exteriors ; 2.3. Poincare duality and the Blanchfield pairings ; 2.4. The total linking number cover 2.5. The maximal abelian cover 2.6. Concordance ; 2.7. Additivity ; 2.8. The Seifert approach for boundary 1-links ; 2.9. Signatures ; Chapter 3. Determinantal Invariants ; 3.1. Elementary ideals ; 3.2. The Elementary Divisor Theorem ; 3.3. Extensions 3.4. Reidemeister-Franz torsion 3.5. Steinitz-Fox-Smythe invariants ; 3.6. 1- and 2-dimensional rings ; 3.7. Bilinear pairings ; Chapter 4. The Maximal Abelian Cover ; 4.1. Metabelian groups and the Crowell sequence ; 4.2. Free metabelian groups ; 4.3. Link module sequences 4.4. Localization of link module sequences 4.5. Chen groups ; 4.6. Applications to links ; 4.7. Chen groups nullity and longitudes ; 4.8. I-equivalence ; 4.9. The sign-determined Alexander polynomial ; 4.10. Higher dimensional links ; Chapter 5. Sublinks and Other Abelian Covers 5.1. The Torres conditions |
| Record Nr. | UNINA-9910777494803321 |
|
Hillman Jonathan A (Jonathan Arthur), <1947->
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman
| Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman |
| Autore | Hillman Jonathan A (Jonathan Arthur), <1947-> |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 514.224 |
| Collana | K & E series on knots and everything |
| Soggetto topico |
Link theory
Invariants Abelian groups |
| ISBN | 981-277-664-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part 1. Abelian Covers ; Chapter 1. Links ; 1.1. Basic notions ; 1.2. The link group ; 1.3. Homology boundary links ; 1.4. Z/2Z-boundary links ; 1.5. Isotopy concordance and /-equivalence ; 1.6. Link homotopy and surgery ; 1.7. Ribbon links
1.8. Link-symmetric groups 1.9. Link composition ; Chapter 2. Homology and Duality in Covers ; 2.1. Homology and cohomology with local coefficients ; 2.2. Covers of link exteriors ; 2.3. Poincare duality and the Blanchfield pairings ; 2.4. The total linking number cover 2.5. The maximal abelian cover 2.6. Concordance ; 2.7. Additivity ; 2.8. The Seifert approach for boundary 1-links ; 2.9. Signatures ; Chapter 3. Determinantal Invariants ; 3.1. Elementary ideals ; 3.2. The Elementary Divisor Theorem ; 3.3. Extensions 3.4. Reidemeister-Franz torsion 3.5. Steinitz-Fox-Smythe invariants ; 3.6. 1- and 2-dimensional rings ; 3.7. Bilinear pairings ; Chapter 4. The Maximal Abelian Cover ; 4.1. Metabelian groups and the Crowell sequence ; 4.2. Free metabelian groups ; 4.3. Link module sequences 4.4. Localization of link module sequences 4.5. Chen groups ; 4.6. Applications to links ; 4.7. Chen groups nullity and longitudes ; 4.8. I-equivalence ; 4.9. The sign-determined Alexander polynomial ; 4.10. Higher dimensional links ; Chapter 5. Sublinks and Other Abelian Covers 5.1. The Torres conditions |
| Record Nr. | UNINA-9910826514503321 |
|
Hillman Jonathan A (Jonathan Arthur), <1947->
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The branched cyclic coverings of 2 bridge knots and links / / Jerome Minkus
| The branched cyclic coverings of 2 bridge knots and links / / Jerome Minkus |
| Autore | Minkus Jerome <1936-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (74 p.) |
| Disciplina |
510 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Knot theory
Link theory Three-manifolds (Topology) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0662-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â0. Synopsis""; ""Â1. The manifolds M[sub(n)](k,1)""; ""Â2. The foldings C(k,1)""; ""Â3. The lens spaces as branched double coverings""; ""Â4. C(k,h) = S[sup(3)]""; ""Â5. The manifolds M[sub(n)](k,h)""; ""Â6. The fundamental group of M[sub(n)](k,h)""; ""References"" |
| Altri titoli varianti | Branched cyclic coverings of two bridge knots and links |
| Record Nr. | UNINA-9910480769903321 |
|
Minkus Jerome <1936->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The branched cyclic coverings of 2 bridge knots and links / / Jerome Minkus
| The branched cyclic coverings of 2 bridge knots and links / / Jerome Minkus |
| Autore | Minkus Jerome <1936-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (74 p.) |
| Disciplina |
510 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Knot theory
Link theory Three-manifolds (Topology) |
| ISBN | 1-4704-0662-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â0. Synopsis""; ""Â1. The manifolds M[sub(n)](k,1)""; ""Â2. The foldings C(k,1)""; ""Â3. The lens spaces as branched double coverings""; ""Â4. C(k,h) = S[sup(3)]""; ""Â5. The manifolds M[sub(n)](k,h)""; ""Â6. The fundamental group of M[sub(n)](k,h)""; ""References"" |
| Altri titoli varianti | Branched cyclic coverings of two bridge knots and links |
| Record Nr. | UNINA-9910788896303321 |
|
Minkus Jerome <1936->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The branched cyclic coverings of 2 bridge knots and links / / Jerome Minkus
| The branched cyclic coverings of 2 bridge knots and links / / Jerome Minkus |
| Autore | Minkus Jerome <1936-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1982] |
| Descrizione fisica | 1 online resource (74 p.) |
| Disciplina |
510 s
514/.224 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Knot theory
Link theory Three-manifolds (Topology) |
| ISBN | 1-4704-0662-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Â0. Synopsis""; ""Â1. The manifolds M[sub(n)](k,1)""; ""Â2. The foldings C(k,1)""; ""Â3. The lens spaces as branched double coverings""; ""Â4. C(k,h) = S[sup(3)]""; ""Â5. The manifolds M[sub(n)](k,h)""; ""Â6. The fundamental group of M[sub(n)](k,h)""; ""References"" |
| Altri titoli varianti | Branched cyclic coverings of two bridge knots and links |
| Record Nr. | UNINA-9910817227803321 |
|
Minkus Jerome <1936->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1982] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Derivatives of links : Milnor's concordance invariants and Massey's products / / Tim D. Cochran
| Derivatives of links : Milnor's concordance invariants and Massey's products / / Tim D. Cochran |
| Autore | Cochran Tim D. <1955-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1990 |
| Descrizione fisica | 1 online resource (89 p.) |
| Disciplina | 510 s |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Link theory
Massey products Cobordism theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0850-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Acknowledgements""; ""0. Introduction and summary of major results""; ""1. Higher-order linking numbers""; ""2. Derived links, Derived linkings, and surface systems""; ""3. Derived links and the lower central series""; ""4. Computing G/G[sub(n)]: The Geometric Rewrite""; ""5. Calculating Minor's Î?-invariants using the Geometric Rewrite""; ""6. Formal Massey products and Surface systems""; ""7. Antiderivatives and the Realization Theorem""; ""8. The Effect of Bing-Doubling and Band-summing on the Î?-invariants""; ""9. Relations to Cobordism and Orr's invariants""
""10. Cobordism Classification and Realization""""11. Questions and Problems""; ""Appendix A: Finding Seifert surfaces for links""; ""Appendix B: Table of the invariant n-linkings and their corresponding Î?-invariants""; ""References"" |
| Record Nr. | UNINA-9910480470703321 |
|
Cochran Tim D. <1955->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Link theory
(33)
- Knot theory (19)
- Invariants (10)
- Abelian groups (6)
- Three-manifolds (Topology) (6)