[{"date_created":"2026-01-20T10:12:21Z","fulldoi":"https://doi.org/10.48550/arXiv.2505.17858","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","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."}],"oa":1,"project":[{"call_identifier":"H2020","name":"Alpha Shape Theory Extended","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"}],"day":"23","language":[{"iso":"eng"}],"OA_type":"green","OA_place":"repository","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2505.17858"}],"type":"preprint","publication_status":"submitted","das_tickbox":"1","oa_version":"Preprint","date_published":"2025-05-23T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"HeEd"}],"status":"public","author":[{"full_name":"Bleile, Yossi","orcid":"0000-0002-4861-9174","id":"920a7385-7995-11ef-9bfd-8c434cd8f3c2","last_name":"Bleile","first_name":"Yossi"},{"first_name":"Lisbeth","last_name":"Fajstrup","full_name":"Fajstrup, Lisbeth"},{"last_name":"Heiss","first_name":"Teresa","orcid":"0000-0002-1780-2689","full_name":"Heiss, Teresa","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Svane, Anne Marie","first_name":"Anne Marie","last_name":"Svane"},{"last_name":"Sørensen","first_name":"Søren Strandskov","full_name":"Sørensen, Søren Strandskov"}],"date_updated":"2026-07-22T06:33:07Z","ec_funded":1,"citation":{"ista":"Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv, 2505.17858.","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>","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>. .","short":"Y. Bokor Bleile, L. Fajstrup, T. Heiss, A.M. Svane, S.S. Sørensen, ArXiv (n.d.).","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>","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>."},"publication":"arXiv","title":"Identifying cobordisms using kernel persistence","year":"2025","arxiv":1,"month":"05","doi":"10.48550/arXiv.2505.17858","article_processing_charge":"No","external_id":{"arxiv":["2505.17858"]},"_id":"21016"}]