Algebraic Invariants of Links (Knots and Everything #52) (Hardcover)

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Algebraic Invariants of Links (Knots and Everything #52) By Jonathan Hillman Cover Image

Other Books in Series

This is book number 52 in the Knots and Everything series.


This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology.This second edition introduces two new chapters -- twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
Product Details
ISBN: 9789814407380
ISBN-10: 9814407380
Publisher: World Scientific Publishing Company
Publication Date: July 15th, 2012
Pages: 372
Language: English
Series: Knots and Everything