Author
Hitchin, N
Last updated
2021-10-19T13:24:08.597+01:00
Abstract
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.
Symplectic ID
1161181
Download URL
https://arxiv.org/abs/1605.06385
Favourite
Off
Publication type
59
Publication date
20 May 2016
Please contact us with feedback and comments about this page. Created on 12 Feb 2021 - 11:25.