带边三维流形上有限阿贝尔覆盖的扭亚历山大多项式
几何拓扑
2014-10-01 v3
摘要
我们给出了边界为有限个环面的三维流形上有限阿贝尔覆盖的扭亚历山大多项式。这是三维球面中有限循环分支覆盖上通常的亚历山大多项式的一个著名公式的推广。
引用
@article{arxiv.1107.3283,
title = {The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary},
author = {Jérôme Dubois and Yoshikazu Yamaguchi},
journal= {arXiv preprint arXiv:1107.3283},
year = {2014}
}
备注
10 pages, v3: The organization was changed. This paper focuses on proving the formula of the twisted Alexander polynomial for finite abelian covering spaces, typos corrected and the main statement and proof were improved, to appear in Algebraic & Geometric Topology