Algebraic Invariants of Links
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ISBN-13:
9789814407380
Veröffentl:
2012
Erscheinungsdatum:
15.07.2012
Seiten:
372
Autor:
Jonathan Hillman
Gewicht:
691 g
Format:
235x157x25 mm
Sprache:
Englisch
Beschreibung:
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.
Abelian Covers: Links; Homology and Duality in Covers; Determinantal Invariants; The Maximal Abelian Cover; Sublinks and Other Abelian Covers; Twisted Polynomial Invariants; Applications: Special Cases and Symmetries: Knot Modules; Links with Two Components; Symmetries; Singularities of Plane Curves; Free Covers, Nilpotent Quotients and Completion: Free Covers; Nilpotent Quotients; Algebraic Closure; Disc Links.
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