Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra
classification
✦ hep-th
math-phmath.COmath.MPnlin.SI
keywords
tau-functionsalgebraenumerativegeometryoperatorsrelationsallowbelong
read the original abstract
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.
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