Link Theory in Manifolds

Download or read book Link Theory in Manifolds written by Uwe Kaiser and published by Lecture Notes in Mathematics. This book was released on 1997-09-18 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.