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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