Identifying cobordisms using kernel persistence Bleile, Yossi ; https://orcid.org/0000-0002-4861-9174 Fajstrup, Lisbeth Heiss, Teresa ; https://orcid.org/0000-0002-1780-2689 Svane, Anne Marie Sørensen, Søren Strandskov 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. 2025 info:eu-repo/semantics/preprint doc-type:preprint preprint http://purl.org/coar/resource_type/c_816b https://research-explorer.ista.ac.at/record/21016 Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2505.17858">10.48550/arXiv.2505.17858</a> eng info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2505.17858 info:eu-repo/semantics/altIdentifier/arxiv/2505.17858 info:eu-repo/semantics/openAccess