
最 低 价:¥330.70
定 价:¥389.00
作 者:Jonathan A. Hillman 著 著
出 版 社:Pengiun Group (USA)
出版时间:2002-12-1
I S B N:9789812381545
| 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 1-1inks 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. /-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 5.2. Torsion again 5.3. Partial derivatives 5.4. The total linking number cover 5.5. Murasugi nullity 5.6. Fibred links 5.7. Finite abelian covers 5.8. Cyclic branched covers 5.9. Families of coverings 5.10. Twisted Alexander invariants Part 2. Applications: Special Cases and Symmetries Chapter 6. Knot Modules 6.1. Knot modules 6.2. A Dedekind criterion 6.3. Cyclic modules 6.4. Recovering the module from the polynomial …… Part 3. Free Covers, Nilpotent Quotients and Completion |
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