Reidemeister挠率与可积哈密顿系统

广义莫尔斯理论中的Reidemeister挠率

Reidemeister torsion in generalized Morse theory

在前两篇与李义仁的论文中，我们定义并计算了有限维流形上闭1-形式的莫尔斯理论的Reidemeister挠的概念。本文给出了这个莫尔斯理论不变量是拓扑不变量的先验证明。人们希望这将提供一个模型，可能的推广到弗洛尔理论。

Towards a dichotomy for the Reidemeister zeta function

We prove a dichotomy between rationality and a natural boundary for the analytic behavior of the Reidemeister zeta function for automorphisms of non-finitely generated torsion abelian groups and for endomorphisms of groups $\mathbb Z_p^d,$ where $\mathbb Z_p$ the group of p-adic integers. As a consequence, we obtain a dichotomy for the Reidemeister zeta function of a continuous map of a topological space with fundamental group that is non-finitely generated torsion abelian group. We also prove the rationality of the coincidence Reidemeister zeta function for tame endomorphisms pairs of finitel…

紧致双曲轨道曲面上的扭曲 Ruelle zeta 函数与 Reidemeister-Turaev 挠率

The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion

该文研究紧致双曲轨道曲面上扭曲 Ruelle zeta 函数在零点取值与 Reidemeister-Turaev 挠率的关系，推广 Fried 猜想至非酉表示并解决相位符号问题，同时计算消失阶与首项系数。