On the L-infinity description of the Hitchin Map

Details On the L-infinity description of the Hitchin Map On the L-infinity description of the Hitchin Map

2010-07-29

arxiv.org/abs/1007.5309v2

Mathematics

Algebraic Geometry

12 pages. Comments welcome! Exposition improved. References added. Section 3 expanded and corrected. Typos fixed and some conv

Scientific paper

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.

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