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

Anh T. Tran; Yoshikazu Yamaguchi

doi:10.4153/CMB-2017-021-5

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

Anh T. Tran, Yoshikazu Yamaguchi

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	211-224
Number of pages	14
Journal	Canadian Mathematical Bulletin
Volume	61
Issue number	1
DOIs	https://doi.org/10.4153/CMB-2017-021-5
Publication status	Published - 2018 Mar
Externally published	Yes

Keywords

Asymptotic behavior
Exceptional surgery
Graph manifold
Reidemeister torsion

ASJC Scopus subject areas

Mathematics(all)

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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 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.",

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N2 - 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.

AB - 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.

KW - Asymptotic behavior

KW - Exceptional surgery

KW - Graph manifold

KW - Reidemeister torsion

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

Abstract

Keywords

ASJC Scopus subject areas

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