Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinors, Lagrangians and rank 2 Higgs bundles   The paper considers the Dirac operator on a Riemann surface coupled to a
symplectic holomorphic vector bundle W. Each spinor in the null-space generates
through the moment map a Higgs bundle, and varying W one obtains a holomorphic
Lagrangian subvariety in the moduli space of Higgs bundles. Applying this to
the irreducible symplectic representations of SL(2) we obtain Lagrangian
submanifolds of the rank 2 moduli space which link up with m-period points on
the Prym variety of the spectral curve as well as Brill-Noether loci on the
moduli space of semistable bundles. The case of genus 2 is investigated in some
detail.

4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg