Reidemeister Torsion for Linear Representations and Seifert Surgery on Knots

نویسنده

  • TAKAHIRO KITAYAMA
چکیده

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 S 2. 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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تاریخ انتشار 2009