Identifying cobordisms using kernel persistence
Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv, 2505.17858.
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Author
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
Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv. doi:10.48550/arXiv.2505.17858
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
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. Bleile, L. Fajstrup, T. Heiss, A. M. Svane, and S. S. Sørensen, “Identifying cobordisms using kernel persistence,” arXiv. .
Bleile Y, Fajstrup L, Heiss T, Svane AM, Sørensen SS. Identifying cobordisms using kernel persistence. arXiv, 2505.17858.
Bleile, Yossi, et al. “Identifying Cobordisms Using Kernel Persistence.” ArXiv, 2505.17858, doi:10.48550/arXiv.2505.17858.
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