scholarly journals Finiteness of the image of the Reidemeister torsion of a splice

2020 ◽  
Vol 27 (1) ◽  
pp. 19-36
Author(s):  
Teruaki Kitano ◽  
Yuta Nozaki
Keyword(s):  
Reidemeister Torsion

scholarly journals The Asymptotics of the Higher Dimensional Reidemeister Torsion for Exceptional Surgeries Along Twist Knots

2018 ◽  
Vol 61 (1) ◽  
pp. 211-224 ◽  
Author(s):  
Anh T. Tran ◽  
Yoshikazu Yamaguchi
Keyword(s):  
Asymptotic Behavior ◽  
Reidemeister Torsion ◽  
Graph Manifold ◽  
Higher Dimensional ◽  
Graph Manifolds

AbstractWe 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 SL2()-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 coeõcients in the higher dimensional Reidemeister torsion explicitly.

scholarly journals Mutation and SL(2,ℂ)–Reidemeister torsion for hyperbolic knots

2012 ◽  
Vol 12 (4) ◽  
pp. 2049-2067
Author(s):  
Pere Menal-Ferrer ◽  
Joan Porti
Keyword(s):  
Reidemeister Torsion
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