# KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model

@article{Alexandrov2020KPIO, title={KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model}, author={A. Alexandrov}, journal={Analysis and Mathematical Physics}, year={2020}, volume={11}, pages={1-82} }

In this paper we introduce a new family of the KP tau-functions. This family can be described by a deformation of the generalized Kontsevich matrix model. We prove that the simplest representative of this family describes a generating function of the cubic Hodge integrals satisfying the Calabi–Yau condition, and claim that the whole family describes its generalization for the higher spin cases. To investigate this family we construct a new description of the Sato Grassmannian in terms of a… Expand

#### 3 Citations

KP hierarchy for Hurwitz-type cohomological field theories

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- 2021

We generalise a result of Kazarian regarding Kadomtsev-Petviashvili integrability for single Hodge integrals to general cohomological field theories related to Hurwitz-type counting problems or… Expand

KP integrability of triple Hodge integrals. III. Cut-and-join description, KdV reduction, and topological recursions

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In this paper, we continue our investigation of the triple Hodge integrals satisfying the Calabi–Yau condition. For the tau-functions, which generate these integrals, we derive the complete families… Expand

KP integrability of triple Hodge integrals, I. From Givental group to hierarchy symmetries

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In this paper we investigate a relation between the Givental group of rank one and Heisenberg-Virasoro symmetry group of the KP hierarchy. We prove, that only a two-parameter family of the Givental… Expand

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