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2012 The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
Jérôme Dubois, Yoshikazu Yamaguchi
Algebr. Geom. Topol. 12(2): 791-804 (2012). DOI: 10.2140/agt.2012.12.791

Abstract

We provide the twisted Alexander polynomials of finite abelian covers over three-dimensional manifolds whose boundary is a finite union of tori. This is a generalization of a well-known formula for the usual Alexander polynomial of knots in finite cyclic branched covers over the three-dimensional sphere.

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Jérôme Dubois. Yoshikazu Yamaguchi. "The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary." Algebr. Geom. Topol. 12 (2) 791 - 804, 2012. https://doi.org/10.2140/agt.2012.12.791

Information

Received: 3 September 2011; Revised: 20 December 2011; Accepted: 3 January 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1270.57020
MathSciNet: MR2914618
Digital Object Identifier: 10.2140/agt.2012.12.791

Subjects:
Primary: 57M25
Secondary: 57M27

Rights: Copyright © 2012 Mathematical Sciences Publishers

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