Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double genus expansion for general $\Omega$ background   We will show how the refined holomorphic anomaly equation obeyed by the
Nekrasov partition function at generic $\epsilon_1,\epsilon_2$ values becomes
compatible, in a certain two parameters expansion, with the assumption that
both parameters are associated to genus counting. The underlying worldsheet
theory will be analysed and constrained in various ways, and we will provide
both physical interpretation and some alternative evidence for this model.
Finally we will use the Gopakumar - Vafa formulation for the refined
topological string in order to give a more quantitative description.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci