Donagi-Markman cubic for Hitchin systems

Details Donagi-Markman cubic for Hitchin systems Donagi-Markman cubic for Hitchin systems

2006-07-03

arxiv.org/abs/math/0607060v2

Math. Res. Lett. 13 (2006), no. 6, 923--933

Mathematics

Algebraic Geometry

Final version, minor changes made at request of referee

Scientific paper

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 $\mathfrak g$. This was originally
stated (without proof) by Pantev for ${\mathfrak sl}_n$.

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