3 papers
math.SG2020
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…
math.DS2019
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…
math.SG2018
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…