20 citations · 40 across the 10 of their papers we have counts for
6 papers · 1 filter
Witt Differential Operators
Christopher Dodd
For a smooth scheme over a perfect field of positive characteristic, we define (for each ) a sheaf of rings of differen…
Differential Operators, Gauges, and Mixed Hodge Modules
Christopher Dodd
The purpose of this paper is to develop a new theory of gauges in mixed characteristic. Namely, let be a perfect field of characteristic and the -typical Witt v…
Associated graded of Hodge modules and categorical sl_2 actions
Sabin Cautis, Christopher Dodd, Joel Kamnitzer
One of the most mysterious aspects of Saito's theory of Hodge modules are the Hodge and weight filtrations that accompany the pushforward of a Hodge module under an open embedding.…
The p-cycle of Holonomic D-modules and Quantization of Exact Algebraic Lagrangians
Christopher Dodd
Let be complex affine space, and let be its cotangent bundle. For any exact Lagrangian , we define a new invariant, A, living in $ \tex…
Categorical Cell Decomposition of Quantized Symplectic Algebraic Varieties
Gwyn Bellamy, Christopher Dodd, Kevin McGerty +1
We prove a new symplectic analogue of Kashiwara's Equivalence from D-module theory. As a consequence, we establish a structure theory for module categories over deformation quantiz…
Equivariant Coherent Sheaves, Soergel Bimodules, and Categorification of Affine Hecke Algebras
Christopher Dodd
We give a description of certain categories of equivariant coherent sheaves on Grothendieck's resolution in terms of the categorical affine Hecke algebra of Soergel. As an applicat…