On the L-infinity description of the Hitchin Map

Peter Dalakov

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arXiv · 1007.5309

On the L-infinity description of the Hitchin Map

Peter Dalakov

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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.

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BibTeX RIS

Peter Dalakov. 2010-07-29. On the L-infinity description of the Hitchin Map. https://arxiv.org/abs/1007.5309

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