1.

Record Nr.

UNINA9910461791603321

Autore

Hillman Jonathan A (Jonathan Arthur), <1947->

Titolo

Algebraic invariants of links [[electronic resource] /] / Jonathan Hillman

Pubbl/distr/stampa

Hackensack, N.J., : World Scientific, 2012

ISBN

1-281-60372-4

9786613784414

981-4407-39-9

Edizione

[2nd ed.]

Descrizione fisica

1 online resource (370 p.)

Collana

Series on knots and everything ; ; v. 52

Disciplina

514/.224

Soggetti

Link theory

Invariants

Abelian groups

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

pt. 1. Abelian covers -- pt. 2. Applications : special cases and symmetries -- pt. 3. Free covers, nilpotent quotients and completion.

Sommario/riassunto

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 essent