English

Donagi-Markman cubic for Hitchin systems

Algebraic Geometry 2007-05-23 v2 Symplectic Geometry

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

Cite

@article{arxiv.math/0607060,
  title  = {Donagi-Markman cubic for Hitchin systems},
  author = {David Balduzzi},
  journal= {arXiv preprint arXiv:math/0607060},
  year   = {2007}
}

Comments

Final version, minor changes made at request of referee