BIMSA > BIMSA Topology Seminar Cyclic path homology on (di)graphs
Cyclic path homology on (di)graphs
Organizers
Matthew Burfitt , Jing Yan Li , Jie Wu , Nanjun Yang , Jia Wei Zhou
Speaker
Yury Muranov
Time
Thursday, November 28, 2024 1:30 PM - 3:00 PM
Venue
A3-2a-302
Online
Zoom 482 240 1589 (BIMSA)
Abstract
We construct a cyclic path homology theory on digraphs (graphs) and describe properties of the introduced homology groups. As an intermediate step, we define the path homology of non-self-intersecting cyclic path. We compare the obtained theory with the standard path homology theory and provide examples of computations. Afterwards we apply the obtained results to cyclic in colored (di)graphs.