Donagi-Markman cubic for Hitchin systems

Balduzzi, D

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Donagi-Markman cubic for Hitchin systems

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https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2006/0013/0006/MRL-2006-0013-0006-a007.pdf
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Balduzzi, D. (2006). Donagi-Markman cubic for Hitchin systems. Mathematical Research Letters, 13(6), 923-933.

Cite as: https://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.