Hitchin system

introduction

• elliptic Calogero-Moser system is an example of Hitchin system.
• http://ncatlab.org/nlab/show/Hitchin+fibration
• the spectral curve is a hyperelliptic curve (genus 2 or more)

• explicit formulas for genus 2 case
• B. van Geemen, A.J. de Jong, "On Hitchin's connection" J. Amer. Math. Soc. , 11 (1998) pp. 189–228 http://dx.doi.org/10.1090/S0894-0347-98-00252-5
• van Geemen, Bert, and Emma Previato. 1994. On the Hitchin System. Duke Math. J. , 85 : 3 (1996) pp. 659–683 alg-geom/9410015 (October 14). http://arxiv.org/abs/alg-geom/9410015.

encyclopedia

• http://en.wikipedia.org/wiki/Hitchin_system
• Hitchin system http://eom.springer.de/H/h120090.htm

expositions

• Scognamillo, Renata. 1999. A note on the complete integrability of the Hitchin system. Archiv der Mathematik 73, no. 1 (7): 50-55. doi:10.1007/s000130050019.

articles

• Ward, R. S. ‘Geometry of Solutions of Hitchin Equations on R^2’. arXiv:1504.05746 [math-Ph, Physics:nlin], 22 April 2015. http://arxiv.org/abs/1504.05746.
• Andersen, Jørgen Ellegaard, and Niels Leth Gammelgaard. “The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory.” arXiv:1409.1035 [math], September 3, 2014. http://arxiv.org/abs/1409.1035.