3 papers
math.SG2026
Barcode entropy and relative symplectic cohomology
Jonghyeon Ahn
In this paper, we study the barcode entropy--the exponential growth rate of the number of not-too-short bars--of the persistence module associated with the relative symplectic coho…
math.SG2025
Comparison of symplectic capacities
Jonghyeon Ahn
In this paper, we compare the symplectic (co)homology capacity with the spectral capacity in the relative case. This result establishes a chain of inequalities of relative symplect…
math.SG2024
-equivariant relative symplectic cohomology and relative symplectic capacities
Jonghyeon Ahn
In this paper, we construct an -equivariant version of the relative symplectic cohomology developed by Varolgunes. As an application, we construct a relative version of Gutt-H…