9 papers · 1 filter
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…
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…
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…
Volume growth via real Lagrangians in Milnor fibers of Brieskorn polynomials
Joontae Kim, Myeonggi Kwon
In this paper we study the volume growth in the component of fibered twists in Milnor fibers of Brieskorn polynomials. We obtain a uniform lower bound of the volume growth for a cl…
On dynamically convex contact manifolds and filtered symplectic homology
Myeonggi Kwon, Takahiro Oba
In this paper we are interested in characterizing the standard contact sphere in terms of dynamically convex contact manifolds which admit a Liouville filling with vanishing symple…
Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities
Joontae Kim, Seongchan Kim, Myeonggi Kwon
In this note we study the systoles of convex hypersurfaces in invariant under an anti-symplectic involution. We investigate a uniform upper bound of the ratio bet…