Reidemeister torsion for linear representations and Seifert surgery on knots |
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Authors: | Takahiro Kitayama |
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Institution: | aGraduate School of Mathematical Sciences, the University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan |
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Abstract: | We study an invariant of a 3-manifold which consists of Reidemeister torsion for linear representations which pass through a finite group. We show a Dehn surgery formula on this invariant and compute that of a Seifert manifold over S2. As a consequence we obtain a necessary condition for a result of Dehn surgery along a knot to be Seifert fibered, which can be applied even in a case where abelian Reidemeister torsion gives no information. |
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Keywords: | Reidemeister torsion Dehn surgery Seifert fibered space |
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