Persistence $K$-theory

Paul Biran; Octav Cornea; Jun Zhang

doi:10.4171/qt/222

JournalsqtOnline First

Persistence $K$ -theory

Paul Biran
ETH-Zürich, Zürich, Switzerland
- MathSciNet
- ORCID
Octav Cornea
University of Montreal, Montreal, Canada
- MathSciNet
- ORCID
Jun Zhang
University of Science and Technology of China, Anhui, P. R. China
- MathSciNet
- ORCID

Download PDF

A subscription is required to access this article.

Abstract

This paper studies the basic $K$ -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 $K$ -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 $K$ -theory. Quantum Topol. (2024), published online first

DOI 10.4171/QT/222