49 citations · 63 across the 5 of their papers we have counts for
4 papers · 1 filter
Mapping stacks and categorical notions of properness
Daniel Halpern-Leistner, Anatoly Preygel
One fundamental consequence of a scheme being proper is that the functor classifying maps from to any other suitably nice scheme or algebraic stack is representable by an a…
Integral transforms for coherent sheaves
David Ben-Zvi, David Nadler, Anatoly Preygel
The theory of integral, or Fourier-Mukai, transforms between derived categories of sheaves is a well established tool in noncommutative algebraic geometry. General "representation…
Thom-Sebastiani & Duality for Matrix Factorizations
Anatoly Preygel
The derived category of a hypersurface has an action by "cohomology operations" k[t], deg t=-2, underlying the 2-periodic structure on its category of singularities (as matrix fact…
Algebraic cobordism of varieties with G-bundles
Anatoly Preygel
Lee and Pandharipande studied a "double point" algebraic cobordism theory of varieties equipped with vector bundles, and speculated that some features of that story might extend to…