Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Mathematical Theory of Quantum Sheaf Cohomology   The purpose of this paper is to present a mathematical theory of the
half-twisted $(0,2)$ gauged linear sigma model and its correlation functions
that agrees with and extends results from physics. The theory is associated to
a smooth projective toric variety $X$ and a deformation $\sheaf E$ of its
tangent bundle $T_X$. It gives a quantum deformation of the cohomology ring of
the exterior algebra of $\sheaf E^*$. We prove that in the general case, the
correlation functions are independent of `nonlinear' deformations. We derive
quantum sheaf cohomology relations that correctly specialize to the ordinary
quantum cohomology relations described by Batyrev in the special case $\sheaf E
= T_X$.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg