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arXiv · 1404.3402

Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra

A. Alexandrov
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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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A. Alexandrov. 2015-05-13. Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra. https://doi.org/10.1007/s00220-015-2379-8

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