Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stable homotopy theory of vortices on Riemann surfaces   The purpose of these notes is to show that the methods introduced by Bauer
and Furuta in order to refine the Seiberg-Witten invariants of smooth
4-dimensional manifolds can also be used to obtain stable homotopy classes from
Riemann surfaces, using the vortex equations on the latter.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org