TRIPTURES-TRITTURE

MONODROMY IN MULTIPARAMETER PERSISTENT HOMOLOGY

If you are interested in persistent monodromy and the coherent matching distance, please watch this video (39 mins):

XXI BRAZILIAN TOPOLOGY MEETING, Satellite conference of ICM 2018, Universidade Federal Fluminense (Niterói, Rio de Janeiro, Brazil), August 12-18, 2018,
New advances in 2D sublevel set persistent homology (video).

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You could also have a look at these papers:

Andrea Cerri, Marc Ethier, Patrizio Frosini,
On the geometrical properties of the coherent matching distance in 2D persistent homology,
Journal of Applied and Computational Topology, vol. 3 (2019), n. 4, 381–422. DOI: 10.1007/s41468-019-00041-y
Preprint available at arXiv:1801.06636.

Andrea Cerri, Marc Ethier, Patrizio Frosini,
The coherent matching distance in 2D persistent homology,
Lecture Notes in Computer Science, Proceedings of the 6th International Workshop on Computational Topology in Image Context, Marseille, France, June 15-17, 2016, Springer International Publishing Switzerland, A. Bac and J.-L. Mari (Eds.), LNCS 9667, 216-227, 2016. DOI: 10.1007/978-3-319-39441-1_20. Preprint available at http://arxiv.org/pdf/1603.03886v1.pdf.

Andrea Cerri, Marc Ethier, Patrizio Frosini, A study of monodromy in the computation of multidimensional persistence, Proceedings of the 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Seville, Spain, March 20-22, 2013, Lecture Notes in Computer Science 7749, 2013, 192-202. Preprint
Click here if you wish to have more information about this paper and the phenomenon of monodromy in multidimensional persistence.