Link Theory in Manifolds

• Main Author: Kaiser, Uwe (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1669
• Subjects: Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Topology.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).

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 t...

Table 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.