Fr. 49.90

Link Theory in Manifolds

English · Paperback / Softback

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Description

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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.

List of contents

Link bordism in manifolds.- Enumeration of link bordism in 3-manifolds.- Linking number maps.- Surface structures for links in 3-manifolds.- Link invariants in Betti-trivial 3-manifolds.- Link characteristic and band-operations in Betti-trivial 3-manifolds.- 3-dimensional Betti-trivial submanifolds.

Product details

Authors Uwe Kaiser
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 01.01.1960
 
EAN 9783540634355
ISBN 978-3-540-63435-5
No. of pages 170
Dimensions 155 mm x 236 mm x 12 mm
Weight 316 g
Illustrations XIV, 170 p.
Series Lecture Notes in Mathematics
Lecture Notes in Mathematics
Subject Natural sciences, medicine, IT, technology > Mathematics > Geometry

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