Matrix Model for the Stationary Sector of Gromov–Witten Theory of $$\mathbf{P}^1$$

2021 
In this paper we investigate the tau-functions for the stationary sector of Gromov–Witten theory of the complex projective line and its version, relative to one point. In particular, we construct the integral representation for the points of the Sato Grassmannians, Kac–Schwarz operators, and quantum spectral curves. This allows us to derive the matrix models.
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