7 papers
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…
Cosection localization via shifted symplectic geometry
Young-Hoon Kiem, Hyeonjun Park
The purpose of this paper is to shed a new light on classical constructions in enumerative geometry from the view point of derived algebraic geometry. We first prove that the cosec…
The stacky concentration theorem
Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev +2
We give a sufficient criterion for the Chow or algebraic bordism groups of an algebraic stack, localized at a set of Chern classes of line bundles, to be concentrated in some close…
Shifted symplectic pushforwards
Hyeonjun Park
We introduce how to pushforward shifted symplectic fibrations along base changes. This is achieved by considering symplectic forms that are closed in a stronger sense. Examples inc…
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…
Counting surfaces on Calabi-Yau 4-folds II: - correspondence
Younghan Bae, Martijn Kool, Hyeonjun Park
This is the second part in a series of papers on counting surfaces on Calabi-Yau 4-folds. In this paper, we introduce -theoretic inva…