扭结的非阿贝尔 Reidemeister 挠率
几何拓扑
2008-03-09 v3
摘要
本文给出了 [Dub06] 中定义的 SL_2(C)-非阿贝尔 Reidemeister 挠率在扭结情况下的显式公式。对于双曲扭结,我们还证明了在 holonomy 表示处的非阿贝尔 Reidemeister 挠率可以表示为在纽结尖点形状处求值的有理函数。
引用
@article{arxiv.0706.2213,
title = {Non-abelian Reidemeister torsion for twist knots},
author = {Jérôme Dubois and Vu Huynh and Yoshikazu Yamaguchi},
journal= {arXiv preprint arXiv:0706.2213},
year = {2008}
}
备注
36 pages and 4 figures. Title and Abstract are modified. typos and inconsistent notations corrected. minor changes. to appear in Journal of Knot Theory and Its Ramifications