Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frobenius structures on double Hurwitz spaces   We construct Frobenius structures of "dual type" on the moduli space of
ramified coverings of $\mathbb{P}^1$ with given ramification type over two
points, generalizing a construction of Dubrovin. A complete hierarchy of
hydrodynamic type is obtained from the corresponding deformed flat connection.
This provides a suitable framework for the Whitham theory of an enlarged class
of integrable hierarchies; we treat as examples the q-deformed Gelfand-Dickey
hierarchy and the sine-Gordon equation, and compute the corresponding solutions
of the WDVV equations.

29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics