Identifying cobordisms using kernel persistence
Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv, 2505.17858.
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Author
Bokor Bleile, YossiISTA 
;
Fajstrup, Lisbeth;
Heiss, TeresaISTA ;
Svane, Anne Marie;
Sørensen, Søren Strandskov
;
Fajstrup, Lisbeth;
Heiss, TeresaISTA ;
Svane, Anne Marie;
Sørensen, Søren StrandskovDepartment
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.
Publishing Year
Date Published
2025-05-23
Journal Title
arXiv
Acknowledgement
Y. B. B. and L. F. were funded by the Independent Research Fund Denmark, grant
number 1026-00037. T. H. was partially supported by the European Research Council
(ERC) Horizon 2020, grant number 788183.
Article Number
2505.17858
IST-REx-ID
Cite this
Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv. doi:10.48550/arXiv.2505.17858
Bokor Bleile, Y., Fajstrup, L., Heiss, T., Svane, A. M., & Sørensen, S. S. (n.d.). Identifying cobordisms using kernel persistence. arXiv. https://doi.org/10.48550/arXiv.2505.17858
Bokor Bleile, Yossi, Lisbeth Fajstrup, Teresa Heiss, Anne Marie Svane, and Søren Strandskov Sørensen. “Identifying Cobordisms Using Kernel Persistence.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2505.17858.
Y. Bokor Bleile, L. Fajstrup, T. Heiss, A. M. Svane, and S. S. Sørensen, “Identifying cobordisms using kernel persistence,” arXiv. .
Bokor Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv, 2505.17858.
Bokor Bleile, Yossi, et al. “Identifying Cobordisms Using Kernel Persistence.” ArXiv, 2505.17858, doi:10.48550/arXiv.2505.17858.
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