101 citations · 894 across the 40 of their papers we have counts for
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KdV solves BKP
Alexander Alexandrov
In this note, we prove that any tau-function of the KdV hierarchy also solves the BKP hierarchy after a simple rescaling of times.
Matrix model for the total descendant potential of a simple singularity of type
Alexander Alexandrov, Todor Milanov
We construct a Hermitian matrix model for the total descendant potential of a simple singularity of type D similar to the Kontsevich matrix model for the generating function of int…
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model
Alexander Alexandrov
In this paper we introduce a new family of the KP tau-functions. This family can be described by a deformation of the generalized Kontsevich matrix model. We prove that the simples…
KP integrability of triple Hodge integrals. I. From Givental group to hierarchy symmetries
Alexander Alexandrov
In this paper, we investigate a relation between the Givental group of rank one and the Heisenberg-Virasoro symmetry group of the KP hierarchy. We prove, that only a two-parameter…
Matrix model for the stationary sector of Gromov-Witten theory of
Alexander Alexandrov
In this paper we investigate the tau-functions for the stationary sector of Gromov-Witten theory of the complex projective line and its version, relative to one point. In particula…