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Persistence -theory

  • Paul Biran

    ETH-Zürich, Zürich, Switzerland

  • Octav Cornea

    University of Montreal, Montreal, Canada

  • Jun Zhang

    University of Science and Technology of China, Anhui, P. R. China
Persistence $K$-theory cover
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Abstract

This paper studies the basic -theoretic properties of a triangulated persistence category (TPC). This notion was introduced in the preprint by Biran, Cornea, and Zhang (2024) and it is a type of category that can be viewed as a refinement of a triangulated category in the sense that the morphisms sets of a TPC are persistence modules. We calculate the -groups in some basic examples and discuss an application to Fukaya categories and to the topology of exact Lagrangian submanifolds.

Cite this article

Paul Biran, Octav Cornea, Jun Zhang, Persistence -theory. Quantum Topol. (2024), published online first

DOI 10.4171/QT/222