3 papers
math.SG2026
Floer-theoretic entropy of exact symplectomorphisms
Joontae Kim, Myeonggi Kwon
We introduce the notion of a Penner-type class of an exact symplectomorphism on a Liouville domain with an -configuration of Lagrangian spheres for , and prove t…
math.SG2025
Symplectic fillings of unit cotangent bundles of spheres and applications
Myeonggi Kwon, Takahiro Oba
We prove the uniqueness, up to diffeomorphism, of symplectically aspherical fillings of the unit cotangent bundle of odd-dimensional spheres. As applications, we first show the non…
math.SG2025
Transfer maps in symplectic cohomology for convex symplectic domains
Myeonggi Kwon, Takahiro Oba
We construct transfer maps in symplectic cohomology for convex symplectic domains under the assumption that the complement of a subdomain is exact. We manipulate the action filtrat…