12 citations · 20 across the 13 of their papers we have counts for
14 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…
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…
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…
Intrinsic Donaldson-Thomas theory. II. Stability measures and invariants
Chenjing Bu, Andrés Ibáñez Núñez, Tasuki Kinjo
This is the second paper in a series on intrinsic Donaldson-Thomas theory, a framework for studying the enumerative geometry of general algebraic stacks. In this paper, we present…
Intrinsic Donaldson-Thomas theory. I. Component lattices of stacks
Chenjing Bu, Daniel Halpern-Leistner, Andrés Ibáñez Núñez +1
This is the first paper in a series on intrinsic Donaldson-Thomas theory, where we develop a new framework for enumerative geometry that allows the generalization of constructions…
Cohomology of symmetric stacks
Chenjing Bu, Ben Davison, Andrés Ibáñez Núñez +2
We construct decompositions of: (1) the cohomology of smooth stacks, (2) the Borel--Moore homology of -shifted symplectic stacks, and (3) the vanishing cycle cohomology of $(-1)…
Decomposition theorem for good moduli morphisms
Tasuki Kinjo
In this short note, we will explain that the good moduli space morphisms behave as if they are proper when we consider sheaf operations, though they are not separated. For example,…
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…
Global critical chart for local Calabi-Yau threefolds
Tasuki Kinjo, Naruki Masuda
In this paper, we investigate Keller's deformed Calabi--Yau completion of the derived category of coherent sheaves on a smooth variety. In particular, for an -dimensional smooth…
Cohomological -independence for Higgs bundles and Gopakumar-Vafa invariants
Tasuki Kinjo, Naoki Koseki
The aim of this paper is two-fold: Firstly, we prove Toda's -independence conjecture for Gopakumar--Vafa invariants of arbitrary local curves. Secondly, following Davison's work…
Virtual classes via vanishing cycles
Tasuki Kinjo
We develop a new method to construct the virtual fundamental classes for quasi-smooth derived schemes using the perverse sheaves of vanishing cycles on their -shifted contangen…
Dimensional reduction in cohomological Donaldson-Thomas theory
Tasuki Kinjo
For oriented -shifted symplectic derived Artin stacks, Ben-Bassat-Brav-Bussi-Joyce introduced certain perverse sheaves on them which can be regarded as sheaf theoretic categori…