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Donagi-Markman cubic for Hitchin systems

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons83792

Balduzzi,  D
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Balduzzi, D. (2006). Donagi-Markman cubic for Hitchin systems. Mathematical Research Letters, 13(6), 923-933. Retrieved from http://mrlonline.org/mrl/2006-013-006/2006-013-006-007.html.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-CF71-F
Abstract
The Donagi-Markman cubic is the differential of the period map for algebraic completely integrable systems. Here we prove a formula for the cubic in the case of Hitchin’s system for arbitrary semisimple g. This was originally stated (without proof) by Pantev for sln.