Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the cohomology ring of the moduli space of rank 2 vector bundles on a
  curve   Let $\MS_g$ be the moduli space of stable holomorphic vector bundles of rank
2 and fixed determinant of odd degree over a smooth complex projective curve of
genus $g$. This paper proves various properties of the rational cohomology ring
$H^*(\MS_g)$. It is shown that the first relation in genus $g$ between the
standard generators satisfies a recurrence relation in $g$ and that the
invariant subring for the mapping class group is a complete intersection ring.
(These two results have been obtained independently by Zagier, Baranovsky and
Siebert & Tian.) A Gr\"obner basis is found for the ideal of invariant
relations. A structural formula for $H^*(\MS_g)$ (originally conjectured by
Mumford) is verified and a natural monomial basis is given.

37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat