Joon-Hwi Kim

activity

20172026

most citedBoosting Vector Calculus with the Graphical Notation

7 citations · 29 across the 15 of their papers we have counts for

collaborators

15 papers

math.SG2026

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 $A_{k}$ -configuration of Lagrangian spheres for $k ⩾ 2$ , and prove t…

math.SG2023

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…

math.SG2021

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 $L_{0}$ in the standard contact sphere $(S^{2 n - 1}, ξ_{s t})$ . We show th…

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…

math.SG2019★ 4 cited

On the topology of real Lagrangians in toric symplectic manifolds

Joé Brendel, Joontae Kim, Jiyeon Moon

We explore the topology of real Lagrangian submanifolds in a toric symplectic manifold which come from involutive symmetries on its moment polytope. We establish a real analog of t…

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…

physics.ed-ph2019★ 7 cited

Boosting Vector Calculus with the Graphical Notation

Joon-Hwi Kim, Maverick S. H. Oh, Keun-Young Kim

Learning vector calculus techniques is one of the major missions to be accomplished by physics undergraduates. However, beginners report various difficulties dealing with the index…

math.SG2019★ 2 cited

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

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.SG2019★ 1 cited

Uniqueness of real Lagrangians up to cobordism

Joontae Kim

We prove that a real Lagrangian submanifold in a closed symplectic manifold is unique up to cobordism. We then discuss the classification of real Lagrangians in $C P^{2}$ an…

math.SG2018★ 6 cited

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…

math.SG2017★ 7 cited

Volume growth in the component of fibered twists

Joontae Kim, Myeonggi Kwon, Junyoung Lee

For a Liouville domain $W$ whose boundary admits a periodic Reeb flow, we can consider the connected component $[τ] \in π_{0} (Symp^{c} (W))$ of fibered twists. In this p…

math.DS2017★ 2 cited

$J^{+}$ -like invariants of periodic orbits of the second kind in the restricted three body problem

Joontae Kim, Seongchan Kim

We determine three invariants: Arnold's $J^{+}$ -invariant as well as $J_{1}$ and $J_{2}$ invariants, which were introduced by Cieliebak-Frauenfelder-van Koert, of per…

Floer-theoretic entropy of exact symplectomorphisms

Volume growth via real Lagrangians in Milnor fibers of Brieskorn polynomials

On the topology of Lagrangian fillings of the standard Legendrian sphere

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

Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities

Unknottedness of real Lagrangian tori in S2×S2

On the topology of real Lagrangians in toric symplectic manifolds

Thermodynamic identities with sunray diagrams

Boosting Vector Calculus with the Graphical Notation

The Chekanov torus in S2×S2 is not real

Bifurcations of symmetric periodic orbits via Floer homology

Uniqueness of real Lagrangians up to cobordism

Equivariant wrapped Floer homology and symmetric periodic Reeb orbits

Volume growth in the component of fibered twists

J+-like invariants of periodic orbits of the second kind in the restricted three body problem

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

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

$J^{+}$ -like invariants of periodic orbits of the second kind in the restricted three body problem