The asymptotics of the higher dimensional Reidemeister torsion for exceptional surgeries along twist knots

Anh T. Tran; Yoshikazu Yamaguchi

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arXiv · 1607.06628

The asymptotics of the higher dimensional Reidemeister torsion for exceptional surgeries along twist knots

Anh T. Tran·Yoshikazu Yamaguchi

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Abstract

We determine the asymptotic behavior of the higher dimensional Reidemeister torsion for the graph manifolds obtained by exceptional surgeries along twist knots. We show that all irreducible SL(2;C)-representations of the graph manifold are induced by irreducible metabelian representations of the twist knot group. We also give the set of the limits of the leading coefficients in the higher dimensional Reidemeister torsion explicitly.

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BibTeX RIS

Anh T. Tran, Yoshikazu Yamaguchi. 2016-07-22. The asymptotics of the higher dimensional Reidemeister torsion for exceptional surgeries along twist knots. https://arxiv.org/abs/1607.06628

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