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Link Theory in Manifolds

Link Theory in Manifolds

Paperback

Series: Lecture Notes in Mathematics, Book 1669

General MathematicsGeometry

ISBN10: 3540634355
ISBN13: 9783540634355
Publisher: Springer Nature
Published: Sep 18 1997
Pages: 170
Weight: 0.60
Height: 0.40 Width: 6.14 Depth: 9.21
Language: English
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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