7 papers
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…