5 papers
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…
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…