Joon-Hwi Kim

activity

20182021

collaborators

8 papers

math.SG2021

Anti-symplectic involutions for Lagrangian spheres in a symplectic quadric surface

Joontae Kim, Jiyeon Moon

We show that the space of anti-symplectic involutions of a monotone $S^{2} \times S^{2}$ whose fixed points set is a Lagrangian sphere is connected. This follows from a stronger result,…

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 $R^{2 n}$ invariant under an anti-symplectic involution. We investigate a uniform upper bound of the ratio bet…

math.SG2020

Unknottedness of real Lagrangian tori in $S^{2} \times S^{2}$

Joontae Kim

We prove the Hamiltonian unknottedness of real Lagrangian tori in the monotone $S^{2} \times S^{2}$ , namely any real Lagrangian torus in $S^{2} \times S^{2}$ is Hamiltonian isotopic to the C…

physics.ed-ph2019

Thermodynamic identities with sunray diagrams

Joon-Hwi Kim, Juno Nam

One of the hurdles in teaching undergraduate thermodynamics is a plethora of complicated partial derivative identities. Students suffer from difficulties in deriving, justifying, o…

math.SG2019

The Chekanov torus in $S^{2} \times S^{2}$ is not real

Joontae Kim

We prove that the count of Maslov index 2 $J$ -holomorphic discs passing through a generic point of a real Lagrangian submanifold in a closed spherically monotone symplectic manifol…

math.DS2019

Bifurcations of symmetric periodic orbits via Floer homology