# Enumerative Geometry, Tau-Functions and Heisenberg–Virasoro Algebra

@article{Alexandrov2014EnumerativeGT,
title={Enumerative Geometry, Tau-Functions and Heisenberg–Virasoro Algebra},
author={A. Alexandrov},
journal={Communications in Mathematical Physics},
year={2014},
volume={338},
pages={195-249}
}
• A. Alexandrov
• Published 2014
• Mathematics, Physics
• Communications in Mathematical Physics
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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