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Link Theory in Manifolds : Lecture Notes in Mathematics - U. Kaiser

Link Theory in Manifolds

Lecture Notes in Mathematics

By: U. Kaiser

Paperback Published: 18th September 1997
ISBN: 9783540634355
Number Of Pages: 170

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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.

Link bordism in manifoldsp. 1
Enumeration of link bordism in 3-manifoldsp. 21
Linking number mapsp. 37
Surface structures for links in 3-manifoldsp. 69
Link invariants in Betti-trivial 3-manifoldsp. 85
Link characteristic and band-operationsp. 99
3-dimensional Betti-trivial submanifoldsp. 117
Inner homology, Betti-numbers and pairingsp. 132
Submanifolds of rational homology 3-spheresp. 138
Homology of link complements in 3 manifoldsp. 142
Inner Betti-numbers of 3-manifoldsp. 154
Bibliographyp. 158
Indexp. 162
Symbol Indexp. 165
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540634355
ISBN-10: 3540634355
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 170
Published: 18th September 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.02
Weight (kg): 0.27