Algebraic Invariants Of Links (2nd Edition)

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

• Authors: Jonathan Hillman, Jonathan Hillman, Hillman Jonathan
• Publisher: World Scientific Publishing
• Content: Book
• Product form: Hardback
• Publication date: 21.08.2012
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra
• EAN: 9789814407380
• ISBN: 978-981-4407-38-0
• Pages: 372
• Illustrations: Illustrations
• Series: Series on Knots & Everything > 52; Series on Knots and Everything > 52
• Subjects: MATHEMATICS / Geometry / Algebraic; Algebraic Geometry; Algebraic Invariant, Links, Abelian Cover, Twisted Polynomial Invariant, Knot Module