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

Anh T. Tran, Yoshikazu Yamaguchi

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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 irre-ducible SL2(C)-representations of the graph manifold are induced by irreducible metabelian rep-resentations of the twist knot group. We also give the set of the limits of the leading coefficients in the higher dimensional Reidemeister torsion explicitly.

本文言語English
ページ(範囲)211-224
ページ数14
ジャーナルCanadian Mathematical Bulletin
61
1
DOI
出版ステータスPublished - 2018 3月
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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