Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hochschild Cohomology, Modular Tensor Categories, and Mapping Class
  Groups   Given a finite modular tensor category, we associate with each compact
surface with boundary a cochain complex in such a way that the mapping class
group of the surface acts projectively on its cohomology groups. In degree
zero, this action coincides with the known projective action of the mapping
class group on the space of chiral conformal blocks. In the case that the
surface is a torus and the category is the representation category of a
factorizable ribbon Hopf algebra, we recover our previous result on the
projective action of the modular group on the Hochschild cohomology groups of
the Hopf algebra.

15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th