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The twisted Alexander
polynomial for finite abelian covers over three manifolds
with boundary
Jérôme Dubois and Yoshikazu Yamaguchi |
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Algebraic & Geometric Topology 12 (2012) 791–804
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Abstract |
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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. |
Keywords
Reidemeister torsion, Twisted Alexander polynomial,
Branched cover, Links, Homology orientation
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Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M27
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References |
Publication
Received: 3 September 2011
Revised: 20 December 2011
Accepted: 3 January 2012
Published: 17 April 2012
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Authors |
| Jérôme Dubois | |
| Institut de Mathématiques de
Jussieu Université Paris Diderot–Paris 7 UFR de Mathématiques Case 7012, Bâtiment Chevaleret 75205 Paris Cedex 13 France |
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| Yoshikazu Yamaguchi | |
| Department of Mathematics Tokyo Institute of Technology 2-12-1 Ookayama Meguro-ku Tokyo 152-8551 Japan |
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