Identifying cobordisms using kernel persistence
Algebraic Topology
2025-05-26 v1
Abstract
Motivated by applications in chemistry, we give a homlogical definition of tunnels, or more generally cobordisms, connecting disjoint parts of a cell complex. For a filtered complex, this defines a persistence module. We give a method for identifying birth and death times using kernel persistence and a matrix reduction algorithm for pairing birth and death times.
Keywords
Cite
@article{arxiv.2505.17858,
title = {Identifying cobordisms using kernel persistence},
author = {Yossi Bokor Bleile and Lisbeth Fajstrup and Teresa Heiss and Anne Marie Svane and Søren Strandskov Sørensen},
journal= {arXiv preprint arXiv:2505.17858},
year = {2025}
}