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Period sheaves via perverse pullbacks
Adeel A. Khan, Tasuki Kinjo, Hyeonjun Park +1
We construct period sheaves for Hamiltonian spaces, as conjectured in the work of Ben-Zvi, Sakellaridis and Venkatesh, using the perverse pullback functors introduced in the author…
Perverse pullbacks
Adeel A. Khan, Tasuki Kinjo, Hyeonjun Park +1
We define a new perverse t-exact pullback operation on derived categories of constructible sheaves which generalizes most perverse t-exact functors in sheaf theory, such as microlo…
Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone
Damien Calaque, Pavel Safronov
This article generalizes the theory of shifted symplectic structures to the relative context and non-geometric stacks. We describe basic constructions that naturally appear in this…
Cohomological Hall algebras for 3-Calabi-Yau categories
Tasuki Kinjo, Hyeonjun Park, Pavel Safronov
The aim of this paper is to construct the cohomological Hall algebras for -Calabi--Yau categories admitting a strong orientation data. This can be regarded as a mathematical def…
Deformation quantization and perverse sheaves
Sam Gunningham, Pavel Safronov
Kashiwara, Polesello, Schapira and D'Agnolo defined canonical deformation quantizations of a holomorphic symplectic manifold and a holomorphic Lagrangian submanifold equipped with…