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Alexander ideals of links / / Jonathan A. Hillman
| Alexander ideals of links / / Jonathan A. Hillman |
| Autore | Hillman Jonathan A (Jonathan Arthur), <1947-> |
| Edizione | [1st ed. 1981.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1981 |
| Descrizione fisica | 1 online resource (VIII, 180 p.) |
| Disciplina | 514.224 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Knot theory
Alexander ideals |
| ISBN | 3-540-38643-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- Links and link groups -- Ribbon links -- Determinatal invariants of modules -- The crowell exact sequence -- The vanishing of Alexander ideals -- Longitudes and principality -- Sublinks -- Reduced Alexander ideals -- Localizing the Blanchfield pairing -- Monorientable spanning surfaces. |
| Record Nr. | UNISA-996466510403316 |
Hillman Jonathan A (Jonathan Arthur), <1947->
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| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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-> |
| 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 | ||
| ||