Some integrable
systems related to Hurwitz spaces
Dmitry Korotkin
(korotkin@mathstat.concordia.ca)
Concordia University
Department of Mathematics
7141 Sherbrooke West
Montreal, Quebec
Canada H4B 1R6
Abstract
We propose a class of integrable systems defined on spaces of meromorhic
functions on Riemann surfaces (i.e. Hurwitz spaces). These systems provide
natural generalization of Ernst equation from general relativity. Links
to Darboux-Egoroff metrics and some classes of Frobenius manifolds are
discussed.
|