Algebraic invariants of links / Jonathan Hillman.

Format:

Book

Author/Creator:

Hillman, Jonathan A. (Jonathan Arthur), 1947-

Series:

K & E series on knots and everything ; v. 32.

K & E series on knots and everything

Language:

English

Subjects (All):

Link theory.

Invariants.

Abelian groups.

Physical Description:

xii, 305 pages : illustrations ; 25 cm.

Place of Publication:

River Edge, NJ : World Scientific, 2002.

Summary:

This book is intended as a reference on links and on the invariants derived via algebraic topology from covering spaces of i ink exteriors. It emphasizes features of the multicomponent case not normally considered by knot theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, free coverings of homology boundary links, the fact that links are not usually 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.

Notes:

Includes bibliography (pages 277-298) and index.

ISBN:

9812381546

OCLC:

52134929