7 citations · 29 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
The Chekanov torus in is not real
Joontae Kim
We prove that the count of Maslov index 2 -holomorphic discs passing through a generic point of a real Lagrangian submanifold in a closed spherically monotone symplectic manifol…
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…
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 an…