4 papers
On quantum determinants in integrable quantum gravity
Boris Runov
Einstein-Rosen waves with two polarizations are cylindrically symmetric solutions to vacuum Einstein equations. Einstein equations in this case reduce to an integrable system. In 1…
Constellations and -functions for rationally weighted Hurwitz numbers
J. Harnad, B. Runov
Weighted constellations give graphical representations of weighted branched coverings of the Riemann sphere. They were introduced to provide a combinatorial interpretation of the $…
Matrix model generating function for quantum weighted Hurwitz numbers
J. Harnad, B. Runov
The KP -function of hypergeometric type serving as generating function for quantum weighted Hurwitz numbers is used to compute the Baker function and the corresponding adapted b…
Generating weighted Hurwitz numbers
M. Bertola, J. Harnad, B. Runov
Multicurrent correlators associated to KP -functions of hypergeometric type are used as generating functions for weighted Hurwitz numbers. These are expressed as formal Taylor s…