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On the L-infinity description of the Hitchin Map
Dalakov, Peter
2014
Abstract
We exhibit, for a G-Higgs bundle on a compact complex manifold, a subspace of the second cohomology of the controlling dg Lie algebra, containing the obstructions to smoothness. For this we construct an L-infinity morphism, which induces the Hitchin map and whose "toy version" controls the adjoint quotient morphism. This extends recent results of E.Martinengo.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
46 (2014)
Languages
en
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