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Derivatives of links: Milnor’s concordance invariants and Massey’s products


About this Title

Tim D. Cochran

Publication: Memoirs of the American Mathematical Society
Publication Year 1990: Volume 84, Number 427
ISBNs: 978-0-8218-2489-4 (print); 978-1-4704-0850-3 (online)
DOI: http://dx.doi.org/10.1090/memo/0427
MathSciNet review: 1042041
MSC: Primary 57M25; Secondary 55S30

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Table of Contents


Chapters

  • 1. Higher-order linking numbers
  • 2. Derived links, derived linkings, and surface systems
  • 3. Derived links and the lower-central series
  • 4. Computing $G/G_n$: The geometric rewrite
  • 5. Calculating Minor’s $\bar {\mu }$-invariants using the geometric rewrite
  • 6. Formal Massey products and surface systems
  • 7. Antiderivatives and realizability
  • 8. The effects of Bing-Doubling and band-sum on the $\bar {\mu }$-invariants
  • 9. Relations of the $\bar {\mu }$-invariants with various notions of cobordism and with Orr’s invariants
  • 10. Cobordism classification and realization
  • 11. Questions and problems
  • Appendix A. Construction Seifert surfaces for links
  • Appendix B. Invariant $n$-linkings and their corresponding $\bar {\mu }$-invariants

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