Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Batalin-Vilkovisky algebras and two-dimensional topological field
  theories   Batalin-Vilkovisky algebras are a new type of algebraic structure on graded
vector spaces, which first arose in the work of Batalin and Vilkovisky on gauge
fixing in quantum field theory. In this article, we show that there is a
natural structure of a Batalin-Vilkovisky algebra on the cohomology of a
topological field theory in two dimensions.
  Lian and Zuckerman have constructed this Batalin-Vilkovisky structure, in the
setting of topological chiral field theories, and shown that the structure is
non-trivial in two-dimensional string theory. Our approach is to use algebraic
topology, whereas their proofs have a more algebraic character.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex