Analysis and Mathematical Physics 2(2) 171-214 2012 [Refereed]
A construction of general solutions of the \hbar-dependent Toda hierarchy is
presented. The construction is based on a Riemann-Hilbert problem for the pairs
(L,M) and (\bar L,\bar M) of Lax and Orlov-Schulman operators. This
Riemann-Hilbert proble...
Theoretical and Mathematical Physics 171(2) 683-690 2012 [Refereed]
This is a summary of a recursive construction of solutions of the
hbar-dependent KP hierarchy. We give recursion relations for the coefficients
X_n of an hbar-expansion of the operator X = X_0 + \hbar X_1 + \hbar^2 X_2 +
... for which the dressing...
Progr. Math. 237(Infinite dimensional algebras and quantum integrable systems) 205-224 Dec 2005 [Refereed]
The sheaves of conformal blocks and conformal coinvariants of the twisted WZW
model have a factorisation property and are locally free even at the boundary
of the moduli space, where the elliptic KZ equations and the Baxter-Belavin
elliptic r matr...
This is a summary of a recursive construction of solutions of the
hbar-dependent KP hierarchy. We give recursion relations for the coefficients
X_n of an hbar-expansion of the operator X = X_0 + \hbar X_1 + \hbar^2 X_2 +
... for which the dressing...
It has been shown that the dispersionless KP hierarchy (or the Benney
hierarchy) is reduced to the chordal Löwner equation. We show that the radial
Löwner equation also gives reduction of a dispersionless type integrable
system. The resulting ...
