Infinitesimal deformations of Hitchin pairs and Hitchin map
Algebraic Geometry
2010-03-30 v1
Abstract
We identify dglas that control infinitesimal deformations of the pairs (manifold, Higgs bundle) and of Hitchin pairs. As a consequence, we recover known descriptions of first order deformations and we refine known results on obstructions. Secondly we prove that the Hitchin map is induced by a natural L-infinity morphism and, by standard facts about L-infinity algebras, we obtain new conditions on obstructions to deform Hitchin pairs.
Cite
@article{arxiv.1003.5531,
title = {Infinitesimal deformations of Hitchin pairs and Hitchin map},
author = {Elena Martinengo},
journal= {arXiv preprint arXiv:1003.5531},
year = {2010}
}
Comments
23 pages, Latex