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© 1997

Link Theory in Manifolds

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1669)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Uwe Kaiser
    Pages 1-20
  3. Uwe Kaiser
    Pages 37-68
  4. Uwe Kaiser
    Pages 117-131
  5. Back Matter
    Pages 132-167

About this book

Introduction

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.

Keywords

Knot theory Linking number homology manifold topology

Bibliographic information

  • Book Title Link Theory in Manifolds
  • Authors Uwe Kaiser
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0092686
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-63435-5
  • eBook ISBN 978-3-540-69546-2
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages XIV, 170
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Topology
    Manifolds and Cell Complexes (incl. Diff.Topology)
    Topology
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