Morse Complex and M-torsion of Digraphs
Organizers
Speaker
Chong Wang
Time
Thursday, November 7, 2024 1:30 PM - 3:00 PM
Venue
A3-2a-302
Online
Zoom 482 240 1589
(BIMSA)
Abstract
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.