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arXiv · 2505.17858

Identifying cobordisms using kernel persistence

Yossi Bokor Bleile·Lisbeth Fajstrup·Teresa Heiss·Anne Marie Svane·Søren Strandskov Sørensen
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Abstract

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.

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Yossi Bokor Bleile, Lisbeth Fajstrup, Teresa Heiss, Anne Marie Svane, Søren Strandskov Sørensen. 2025-05-23. Identifying cobordisms using kernel persistence. https://arxiv.org/abs/2505.17858

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