The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories

D Pomerleano, P Seidel - arXiv preprint arXiv:2308.13567, 2023 - arxiv.org
Consider monotone symplectic manifolds containing a smooth anticanonical divisor.
Contingent on conjectures which relate quantum cohomology to the symplectic cohomology …

Symplectic -manifolds I: Filtration on Quantum Cohomology

AF Ritter, F Živanović - arXiv preprint arXiv:2304.13026, 2023 - arxiv.org
We define a large new class of open symplectic manifolds, which includes all Conical
Symplectic Resolutions. They come with a pseudoholomorphic $\mathbb {C}^* $-action …

[PDF][PDF] Extensible positive loops and vanishing of symplectic cohomology

D Cant, J Hedicke, E Kilgore - arXiv preprint arXiv:2311.18267, 2023 - researchgate.net
The symplectic cohomology of certain symplectic manifolds W with non-compact ends
modelled on the positive symplectization of a compact contact manifold Y is shown to vanish …

Floer-theoretic filtration on Painlev\'e Hitchin systems

S Szabó, F Živanović - arXiv preprint arXiv:2405.14850, 2024 - arxiv.org
We classify equivariant $\mathbb {C}^* $-actions on moduli spaces of Higgs bundles
corresponding to the Painlev\'e equations. We deduce the Floer-theoretic filtrations on the …