Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sheaves of Twisted Cherednik Algebras as Universal Filtered Formal
  Deformations   According to a statement by Pavel Etingof, in the special case of an affine
variety $X$ with a faithful action by a finite group $G$, the sheaf of
(twisted) Cherednik algebras $\mathcal{H}_{1, c, \psi, X, G}$ with formal
parameters $c, \psi$ is a universal formal deformation of $\mathcal{D}_X\rtimes
G$ where $\mathcal{D}_X$ is the sheaf of differential operators on $X$. In the
current note, we generalize Etingof's result to the non-affine case. We prove
that for a generic smooth analytic or algebraic variety $X$, the sheaf
$\mathcal{H}_{1, c, \psi, X, G}$ with formal $c$ and $\psi$ is a universal
filtered formal deformation of $\mathcal{D}_X\rtimes G$. To that aim, we first
construct quasi-isomorphisms between the Hochschild (co)chain complex of
$\mathcal{D}_X\rtimes G$ and the $G$-invariant part of the direct sum over all
elements $g$ in $G$ of sheaves of holomorphic differential forms on the
cotangent bundles of the $g$-fixed point submanifolds in $X$. Finally, we
combine these quasi-isomorphisms with results from the theory of algebraic
extensions for sheaves of filtered associative algebras to establish a
bijective correspondence between the space of isomorphism classes of filtered
infinitesimal deformations of $\mathcal{D}_X\rtimes G$ and the parameter space
of $\mathcal{H}_{1, c, \psi, X, G}$.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys