Morse Complex and M-torsion of Digraphs
演讲者
Chong Wang
时间
2024年11月07日 13:30 至 15:00
地点
A3-2a-302
线上
Zoom 482 240 1589
(BIMSA)
摘要
In this talk, we give the definition of Reidemeister torsion and analytic torsion (Abbreviated as M-torsion) for digraphs by means of Morse theory of digraphs. We study the structure of Morse complex of digraphs and join of digraphs, prove that M-torsion of contractible digraphs and cone are all equal to 1. As an auxiliary result, we make a supplementary explanation of condition '$\Phi$-invariant' for the application of discrete Morse theory on digraphs. This talk is based on a joint work with Professor Yong Lin.