4 papers · 1 filter
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 …
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…
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 pape…
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…