Identifying cobordisms using kernel persistence
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918032082731008 |
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| author | Bleile, Yossi Bokor Fajstrup, Lisbeth Heiss, Teresa Svane, Anne Marie Sørensen, Søren Strandskov |
| author_facet | Bleile, Yossi Bokor Fajstrup, Lisbeth Heiss, Teresa Svane, Anne Marie Sørensen, Søren Strandskov |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17858 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identifying cobordisms using kernel persistence Bleile, Yossi Bokor Fajstrup, Lisbeth Heiss, Teresa Svane, Anne Marie Sørensen, Søren Strandskov Algebraic Topology 55N31 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. |
| title | Identifying cobordisms using kernel persistence |
| topic | Algebraic Topology 55N31 |
| url | https://arxiv.org/abs/2505.17858 |