3 papers
math.SG2026
Approximability for Lagrangian submanifolds
Giovanni Ambrosioni, Paul Biran, Octav Cornea
This paper introduces a notion of categorical approximability for metric spaces that can be viewed as a categorification of approximability for metric groups, as defined by Turing…
math.SG2024
Persistence K-theory
Paul Biran, Octav Cornea, Jun Zhang
This paper studies the basic K-theoretic properties of a triangulated persistence category (TPC). This notion was introduced in our earlier papers on triangulation, persistence, an…
math.SG2024
Triangulation, Persistence, and Fukaya categories
Paul Biran, Octav Cornea, Jun Zhang
This paper introduces a new algebraic notion - triangulated persistence category (TPC) - that refines that of triangulated category in the same sense that a persistence module is a…