---
OA_place: repository
OA_type: green
_id: '21016'
abstract:
- lang: eng
  text: 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.
acknowledgement: "Y. B. B. and L. F. were funded by the Independent Research Fund
  Denmark, grant\r\nnumber 1026-00037. T. H. was partially supported by the European
  Research Council\r\n(ERC) Horizon 2020, grant number 788183."
article_number: '2505.17858'
article_processing_charge: No
arxiv: 1
author:
- first_name: Yossi
  full_name: Bleile, Yossi
  id: 920a7385-7995-11ef-9bfd-8c434cd8f3c2
  last_name: Bleile
  orcid: 0000-0002-4861-9174
- first_name: Lisbeth
  full_name: Fajstrup, Lisbeth
  last_name: Fajstrup
- first_name: Teresa
  full_name: Heiss, Teresa
  id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
  last_name: Heiss
  orcid: 0000-0002-1780-2689
- first_name: Anne Marie
  full_name: Svane, Anne Marie
  last_name: Svane
- first_name: Søren Strandskov
  full_name: Sørensen, Søren Strandskov
  last_name: Sørensen
citation:
  ama: 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>
  apa: Bokor Bleile, Y., Fajstrup, L., Heiss, T., Svane, A. M., &#38; Sørensen, S.
    S. (n.d.). Identifying cobordisms using kernel persistence. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2505.17858">https://doi.org/10.48550/arXiv.2505.17858</a>
  chicago: Bokor Bleile, Yossi, Lisbeth Fajstrup, Teresa Heiss, Anne Marie Svane,
    and Søren Strandskov Sørensen. “Identifying Cobordisms Using Kernel Persistence.”
    <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2505.17858">https://doi.org/10.48550/arXiv.2505.17858</a>.
  ieee: Y. Bokor Bleile, L. Fajstrup, T. Heiss, A. M. Svane, and S. S. Sørensen, “Identifying
    cobordisms using kernel persistence,” <i>arXiv</i>. .
  ista: Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms
    using kernel persistence. arXiv, 2505.17858.
  mla: Bokor Bleile, Yossi, et al. “Identifying Cobordisms Using Kernel Persistence.”
    <i>ArXiv</i>, 2505.17858, doi:<a href="https://doi.org/10.48550/arXiv.2505.17858">10.48550/arXiv.2505.17858</a>.
  short: Y. Bokor Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv
    (n.d.).
das_tickbox: '1'
date_created: 2026-01-20T10:12:21Z
date_published: 2025-05-23T00:00:00Z
date_updated: 2026-07-22T06:33:07Z
day: '23'
department:
- _id: HeEd
doi: 10.48550/arXiv.2505.17858
ec_funded: 1
external_id:
  arxiv:
  - '2505.17858'
fulldoi: https://doi.org/10.48550/arXiv.2505.17858
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2505.17858
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
publication: arXiv
publication_status: submitted
status: public
title: Identifying cobordisms using kernel persistence
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...