Donagi-Markman cubic for Hitchin systems
Abstract
Description
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 ${\mathfrak sl}_n$.
Final version, minor changes made at request of referee
Final version, minor changes made at request of referee