82 citations · 102 across the 14 of their papers we have counts for
16 papers
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, assuming that the complement of a subdomain is exact. The construction uses an action filtration…
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…
On the topology of Lagrangian fillings of the standard Legendrian sphere
Joontae Kim, Myeonggi Kwon
In this paper we study the uniqueness of Lagrangian fillings of the standard Legendrian sphere in the standard contact sphere . We show th…
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…
Rational ruled surfaces as symplectic hyperplane sections
Myeonggi Kwon, Takahiro Oba
We study embeddability of rational ruled surfaces as symplectic hyperplane sections into closed integral symplectic manifolds. From this we obtain results on Stein fillability of B…
Diffeomorphism type via aperiodicity in Reeb dynamics
Myeonggi Kwon, Kevin Wiegand, Kai Zehmisch
We characterise boundary shaped disc like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphis…
Diffeomorphism type of symplectic fillings of unit cotangent bundles
Hansjörg Geiges, Myeonggi Kwon, Kai Zehmisch
We prove uniqueness, up to diffeomorphism, of symplectically aspherical fillings of certain unit cotangent bundles, including those of higher-dimensional tori.
Bifurcations of symmetric periodic orbits via Floer homology
Joontae Kim, Seongchan Kim, Myeonggi Kwon
We give criteria for the existence of bifurcations of symmetric periodic orbits in reversible Hamiltonian systems in terms of local equivariant Lagrangian Rabinowitz Floer homology…
A computation of the ring structure in wrapped Floer homology
Hanwool Bae, Myeonggi Kwon
We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in -type Milnor fibers. In the -type plumbing description,…
Equivariant wrapped Floer homology and symmetric periodic Reeb orbits
Joontae Kim, Seongchan Kim, Myeonggi Kwon
The aim of this article is to apply a Floer theory to study symmetric periodic Reeb orbits. We define positive equivariant wrapped Floer homology using a (anti-)symplectic involuti…
Fillings and fittings of unit cotangent bundles of odd-dimensional spheres
Myeonggi Kwon, Kai Zehmisch
We introduce the concept of fittings to symplectic fillings of the unit cotangent bundle of odd-dimensional spheres. Assuming symplectic asphericity we show that all fittings are d…
Volume growth in the component of fibered twists
Joontae Kim, Myeonggi Kwon, Junyoung Lee
For a Liouville domain whose boundary admits a periodic Reeb flow, we can consider the connected component of fibered twists. In this p…
Brieskorn manifolds in contact topology
Myeonggi Kwon, Otto van Koert
In this survey, we give an overview of Brieskorn manifolds and varieties, and their role in contact topology. We discuss open books, fillings and invariants such as contact and sym…