We develop a version of Hodge theory for a large class of smooth formally proper quotient
stacks X∕ G analogous to Hodge theory for smooth projective schemes. We show that the …

We prove homological mirror symmetry for Milnor fibers of simple singularities in dimensions
greater than one, which are among the log Fano cases of Conjecture 1.5 in arXiv …

We show that the moduli spaces of Thaddeus pairs on smooth projective curves and those
of dual pairs are related by d-critical flips, which are virtual birational transformations …

We compute the Hochschild homology of the differential graded category of perfect curved
modules over suitable curved rings, giving what might be termed" de Rham models" for …

We give criteria for the existence of a Serre functor on the derived category of a gauged
Landau-Ginzburg model. This is used to provide a general theorem on the existence of an …

For a semiseparated noetherian scheme, we show that the category of cotorsion Gorenstein
flat quasi-coherent sheaves is Frobenius and a natural non-affine analogue of the category …

In this paper, we prove a window theorem for categorical Donaldson-Thomas theories on
local surfaces as an analogue of window theorem for GIT quotient stacks. We give two …

We give criteria for the existence of a Serre functor on the derived category of a gauged
Landau–Ginzburg model. This is used to provide a general theorem on the existence of an …