Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A volumish theorem for alternating virtual links   Dasbach and Lin proved a "volumish theorem" for alternating links. We prove
the analogue for alternating link diagrams on surfaces, which provides bounds
on the hyperbolic volume of a link in a thickened surface in terms of
coefficients of its reduced Jones-Krushkal polynomial. Along the way, we show
that certain coefficients of the 4-variable Krushkal polynomial express the
cycle rank of the reduced Tait graph on the surface.

35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics