Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula   We conjecture a formula for the virtual elliptic genera of moduli spaces of
rank 2 sheaves on minimal surfaces $S$ of general type. We express our
conjecture in terms of the Igusa cusp form $\chi_{10}$ and Borcherds type lifts
of three quasi-Jacobi forms which are all related to the Weierstrass elliptic
function. We also conjecture that the generating function of virtual cobordism
classes of these moduli spaces depends only on $\chi(\mathcal{O}_S)$ and
$K_S^2$ via two universal functions, one of which is determined by the
cobordism classes of Hilbert schemes of points on $K3$. We present
generalizations of these conjectures, e.g. to arbitrary surfaces with $p_g>0$
and $b_1=0$.
  We use a result of J. Shen to express the virtual cobordism class in terms of
descendent Donaldson invariants. In a prequel we used T. Mochizuki's formula,
universality, and toric calculations to compute such Donaldson invariants in
the setting of virtual $\chi_y$-genera. Similar techniques allow us to verify
our new conjectures in many cases.

8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin