%0 Journal Article
%T Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra
%A A. Alexandrov
%J Physics
%D 2014
%I arXiv
%R 10.1007/s00220-015-2379-8
%X 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 describe the tau-functions in terms of matrix integrals, Virasoro constraints and Kac-Schwarz operators. All constructed operators belong to the algebra (or group) of symmetries of the KP hierarchy.
%U http://arxiv.org/abs/1404.3402v3