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