On the L-infinity description of the Hitchin Map
Algebraic Geometry
2014-04-15 v3
Abstract
Recently, E.Martinengo obtained results on obstructions to deformations of Higgs pairs by describing an L-infinity morphism inducing the Hitchin map. In this note we show that analogous results hold for principal G-Higgs bundles, where G is a complex reductive group. We show that the L-infinity morphism has a Lie-algebraic analogue inducing the adjoint quotient morphism.
Keywords
Cite
@article{arxiv.1007.5309,
title = {On the L-infinity description of the Hitchin Map},
author = {Peter Dalakov},
journal= {arXiv preprint arXiv:1007.5309},
year = {2014}
}
Comments
12 pages. Comments welcome! Exposition improved. References added. Section 3 expanded and corrected. Typos fixed and some conventions adjusted