101 citations · 894 across the 40 of their papers we have counts for
5 papers · 1 filter
Open intersection numbers, Kontsevich-Penner model and cut-and-join operators
Alexander Alexandrov
We continue our investigation of the Kontsevich--Penner model, which describes intersection theory on moduli spaces both for open and closed curves. In particular, we show how Bury…
Matrix integral expansion of colored Jones polynomials for figure-eight knot
Alexander Alexandrov, Dmitry Melnikov
In this note we examine a possible extension of the matrix integral representation of knot invariants beyond the class of torus knots. In particular, we study a representation of t…
Open intersection numbers, matrix models and MKP hierarchy
A. Alexandrov
In this paper we conjecture that the generating function of the intersection numbers on the moduli spaces of Riemann surfaces with boundary, constructed recently by R. Pandharipand…
On KP-integrable Hurwitz functions
A. Alexandrov, A. Mironov, A. Morozov +1
There is now a renewed interest to the Hurwitz tau-function, counting the isomorphism classes of Belyi pairs, arising in the study of equilateral triangulations and Grothiendicks's…
Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra
A. Alexandrov
In this paper we establish relations between three enumerative geometry tau-functions, namely the Kontsevich-Witten, Hurwitz and Hodge tau-functions. The relations allow us to desc…