Mathematical Research Letters

Volume 13, Issue 6, November 2006 pp. 923-933.

Donagi-Markman cubic for Hitchin systems

Authors: David Balduzzi
Author institution: University of Chicago

Summary: 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 $\fg$. This was originally stated (without proof) by Pantev for $\fsl_n$.

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