Showing 2024Show all
3 papers · 1 filter
math.SG2024
Hypertoric Fukaya categories and categories O
Laurent Côté, Benjamin Gammage, Justin Hilburn
To a conical symplectic resolution with Hamiltonian torus action, Braden--Proudfoot--Licata--Webster associate a category O, defined using deformation quantization (DQ) modules. It…
math.SG2024
The microlocal Riemann-Hilbert correspondence for complex contact manifolds
Laurent Côté, Christopher Kuo, David Nadler +1
Kashiwara showed in 1996 that the categories of microlocalized D-modules can be canonically glued to give a sheaf of categories over a complex contact manifold. Much more recently,…
math.SG2024
Recovering generalized homology from Floer homology: the complex oriented case
Laurent Côté, Yusuf Barış Kartal
We associate an invariant called the completed Tate cohomology to a filtered circle-equivariant spectrum and a complex oriented cohomology theory. We show that when the filtered sp…