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2007 Reidemeister torsion of Seifert fibered homology lens spaces and Dehn surgery
Teruhisa Kadokami
Algebr. Geom. Topol. 7(3): 1509-1529 (2007). DOI: 10.2140/agt.2007.7.1509

Abstract

We provide necessary conditions on the Alexander polynomial of a knot K in a homology sphere and on surgery coefficients pq for the surgered manifold to be a Seifert fibered space over S2. As an application, we show that no pq–surgery with p>3 on a knot in a homology sphere with the same Alexander polynomial as the figure eight knot can produce a Seifert fibered space with base S2. The main tool is the abelian Reidemeister torsion.

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Teruhisa Kadokami. "Reidemeister torsion of Seifert fibered homology lens spaces and Dehn surgery." Algebr. Geom. Topol. 7 (3) 1509 - 1529, 2007. https://doi.org/10.2140/agt.2007.7.1509

Information

Received: 24 May 2007; Revised: 20 September 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1145.57004
MathSciNet: MR2366168
Digital Object Identifier: 10.2140/agt.2007.7.1509

Subjects:
Primary: 19J10, 55R55, 57M25, 57Q10

Rights: Copyright © 2007 Mathematical Sciences Publishers

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Vol.7 • No. 3 • 2007
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