Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Span of the Jones polynomial of an alternating virtual link   For an oriented virtual link, L.H. Kauffman defined the f-polynomial (Jones
polynomial). The supporting genus of a virtual link diagram is the minimal
genus of a surface in which the diagram can be embedded. In this paper we show
that the span of the f-polynomial of an alternating virtual link L is
determined by the number of crossings of any alternating diagram of L and the
supporting genus of the diagram. It is a generalization of
Kauffman-Murasugi-Thistlethwaite's theorem. We also prove a similar result for
a virtual link diagram that is obtained from an alternating virtual link
diagram by virtualizing one real crossing. As a consequence, such a diagram is
not equivalent to a classical link diagram.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg