1 citations · 4 across the 11 of their papers we have counts for
11 papers
Rabinowitz Floer homology for Legendrian submanifolds in prequantization bundles
Hanwool Bae, Jungsoo Kang, Sungho Kim
Let be a prequantization bundle over an integral symplectic manifold . Let be a closed monotone Lagrangian submanifold that admits a Legendrian lift in…
Vanishing arcs for isolated plane curve singularities
Hanwool Bae, Cheol-Hyun Cho, Dongwook Choa +2
The variation operator associated with an isolated hypersurface singularity is a classical topological invariant that relates relative and absolute homologies of the Milnor fiber v…
Pseudo-Anosov autoquivalances arising from Symplectic topology and their hyperbolic actions on stability conditions
Hanwool Bae, Sangjin Lee
Within -Calabi-Yau categories associated with quivers whose base graphs form trees, we delve into the study of the asymptotic behaviors of autoequivalences of a specific type. T…
Floer theory for the variation operator of an isolated singularity
Hanwool Bae, Cheol-Hyun Cho, Dongwook Choa +1
The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analogue for an is…
Calabi-Yau structures on Rabinowitz Fukaya categories
Hanwool Bae, Wonbo Jeong, Jongmyeong Kim
In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain of dimension is -Calabi--Yau assuming the wrapped Fukaya category of a…
Cluster categories from Fukaya categories
Hanwool Bae, Wonbo Jeong, Jongmyeong Kim
We show that the derived wrapped Fukaya category , the derived compact Fukaya category and the cocore disks of th…
A comparison of categorical and topological entropies on Weinstein manifolds
Hanwool Bae, Sangjin Lee
Let be a symplectic manifold, and let be a symplectic automorphism. Then, induces an auto-equivalence defined on the Fukaya category of . In this paper,…
On Categorical Entropy from the viewpoint of Symplectic Topology
Hanwool Bae, Dongwook Choa, Wonbo Jeong +2
In this paper, motivated by symplectic topology, we explore categorical entropy and present two main results. The first result establishes a relation between categorical entropies…
Applications of the theory of Floer to symmetric spaces
Hanwool Bae, Chi Hong Chow, Naichung Conan Leung
We quantize the problem considered by Bott-Samelson who applied Morse theory to any compact symmetric space and the associated real flag manifold which is…
Peterson conjecture via Lagrangian correspondences and wonderful compactifications
Hanwool Bae, Naichung Conan Leung
For a simply-connected compact semisimple Lie group and its maximal torus , we study the -functor associated to the moment Lagrangian correspondence from the cot…
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,…