Published March 2020
| Submitted
Journal Article
Open
Nori Diagrams and Persistent Homology
- Creators
- Manin, Yuri I.
-
Marcolli, Matilde
Abstract
Recently, it was found that there is a remarkable intuitive similarity between studies in theoretical computer science dealing with large data sets on the one hand, and categorical methods of topology and geometry in pure mathematics, on the other. In this article, we treat the key notion of persistency from computer science in the algebraic geometric context involving Nori motivic constructions and related methods. We also discuss model structures for persistent topology.
Additional Information
© 2019 Springer Nature Switzerland AG. Received 14 February 2019; Revised 21 October 2019; Accepted 30 October 2019; First Online 22 November 2019. We thank Jack Morava for suggesting the question of model structures for persistent homology discussed in Sect. 6. The second author is partially supported by NSF grant DMS-1707882, by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement Grant RGPAS-2018-522593, by the FQXi Grant FQXi-RFP-1 804, and by the Perimeter Institute for Theoretical Physics.Attached Files
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Additional details
- Eprint ID
- 100200
- Resolver ID
- CaltechAUTHORS:20191205-092818459
- DMS-1707882
- NSF
- RGPIN-2018-04937
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPAS-2018-522593
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RFP-1 804
- Foundational Questions Institute (FQXI)
- Perimeter Institute for Theoretical Physics
- Created
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2019-12-05Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field