9 papers
Hecke operators on symplectic surfaces and -independence
Ben Davison, Lucien Hennecart, Tasuki Kinjo +2
We prove Toda's chi-independence conjecture for the BPS cohomology of moduli spaces of one-dimensional sheaves on quasi-projective symplectic surfaces, relative to the Chow variety…
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…
The BPS decomposition theorem
Lucien Hennecart, Tasuki Kinjo
We prove the BPS decomposition theorem (a.k.a. cohomological integrality theorem) decomposing the cohomology of smooth symmetric stacks into the Weyl-invariant part of the cohomolo…
Multiplicative dimensional reduction
Tasuki Kinjo
We prove the multiplicative version of the dimensional reduction theorem in cohomological Donaldson--Thomas theory. More precisely, we show that the BPS cohomology associated with…
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…