Higher even dimensional Reidemeister torsion for torus knot exteriors
Abstract
We study the asymptotics of the higher dimensional Reidemeister torsion for torus knot exteriors, which is related to the results by W. M\"uller and P. Menal-Ferrer and J. Porti on the asymptotics of the Reidemeister torsion and the hyperbolic volumes for hyperbolic 3-manifolds. We show that the sequence of log |the higher dimensional Reidemeister torsion of a torus knot exterior with SL(2N,C)-representation| / (2N)^2 converges to zero when N goes to infinity. We also give a classification for SL(2,C)-representations of torus knot groups, which induce acyclic SL(2N,C)-representations.
Keywords
Cite
@article{arxiv.1208.4452,
title = {Higher even dimensional Reidemeister torsion for torus knot exteriors},
author = {Yoshikazu Yamaguchi},
journal= {arXiv preprint arXiv:1208.4452},
year = {2013}
}
Comments
9 pages, 1 figure; V2:Exposition improved; V3: Typos corrected, references updated, to appear in Mathematical Proceedings of the Cambridge Philosophical Society