%0 Journal Article
%T Infinitesimal deformations of Hitchin pairs and Hitchin map
%A Elena Martinengo
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1003.5531v1