2 papers
math-ph2002
Tau-function on Hurwitz spaces
A. Kokotov, D. Korotkin
We construct a flat holomorphic line bundle over a connected component of the Hurwitz space of branched coverings of the Riemann sphere. A flat holomorphic connection defining the…
math-ph2001
A new hierarchy of integrable systems associated to Hurwitz spaces
A. Kokotov, D. Korotkin
In this paper we introduce a new class of integrable systems, naturally associated to Hurwitz spaces (spaces of meromorphic functions over Riemann surfaces). The critical values of…