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Emergent Geometry of KP Hierarchy

Mathematical Physics 2015-11-30 v1 math.MP

Abstract

We explain how to construct a quantum deformation of a spectral curve to a tau-function of the KP hierarchy. This construction is applied to Witten-Kontsevich tau-function to give a natural explanation of some earlier work. We also apply it to higher Weil-Petersson volumes and Witten's r-spin intersection numbers.

Keywords

Cite

@article{arxiv.1511.08257,
  title  = {Emergent Geometry of KP Hierarchy},
  author = {Jian Zhou},
  journal= {arXiv preprint arXiv:1511.08257},
  year   = {2015}
}