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Reidemeister torsion for linear representations and Seifert surgery on knots

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 نشر من قبل Takahiro Kitayama
 تاريخ النشر 2009
  مجال البحث
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 تأليف Takahiro Kitayama




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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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