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Link Theory in Manifolds

  • Book
  • © 1997

Overview

Authors:
  1. Uwe Kaiser
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1669)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Link bordism in manifolds

    • Uwe Kaiser
    Pages 1-20

  3. Enumeration of link bordism in 3-manifolds

    • Uwe Kaiser
    Pages 21-36

  4. Linking number maps

    • Uwe Kaiser
    Pages 37-68

  5. Surface structures for links in 3-manifolds

    • Uwe Kaiser
    Pages 69-84

  6. Link invariants in Betti-trivial 3-manifolds

    • Uwe Kaiser
    Pages 85-98

  7. Link characteristic and band-operations in Betti-trivial 3-manifolds

    • Uwe Kaiser
    Pages 99-116

  8. 3-dimensional Betti-trivial submanifolds

    • Uwe Kaiser
    Pages 117-131

  9. Back Matter

    Pages 132-167
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Keywords

About this book

Any topological theory of knots and links should be based on simple ideas of intersection and linking. In this book, a general theory of link bordism in manifolds and universal constructions of linking numbers in oriented 3-manifolds are developed. In this way, classical concepts of link theory in the 3-spheres are generalized to a certain class of oriented 3-manifolds (submanifolds of rational homology 3-spheres). The techniques needed are described in the book but basic knowledge in topology and algebra is assumed. The book should be of interst to those working in topology, in particular knot theory and low-dimensional topology.

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