# On the Hodge-BGW correspondence

@inproceedings{Yang2021OnTH, title={On the Hodge-BGW correspondence}, author={Di Yang and Qingsheng Zhang}, year={2021} }

We establish an explicit relationship between the partition function of certain special cubic Hodge integrals and the generalized Brézin–Gross–Witten (BGW) partition function, which we refer to as the Hodge-BGW correspondence. As an application, we obtain an ELSV-like formula for generalized BGW correlators.

## 3 Citations

GUE via Frobenius Manifolds. I. From Matrix Gravity to Topological Gravity and Back

- Mathematics
- 2022

. Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov–Witten invariants of the complex projective line. In this paper, we give a direct proof…

Higher Br\'ezin-Gross-Witten tau-functions and intersection theory of Witten's and Norbury's classes

- Mathematics
- 2022

. In this paper, we consider the higher Br´ezin–Gross–Witten tau-functions, given by the matrix integrals. For these tau-functions we construct the canonical Kac–Schwarz operators, quantum spectral…

Gelfand--Dickey hierarchy, generalized BGW tau-function, and $W$-constraints

- Mathematics
- 2021

Let r ≥ 2 be an integer. The generalized BGW tau-function for the Gelfand–Dickey hierarchy of (r − 1) dependent variables (aka the r-reduced KP hierarchy) is defined as a particular tau-function that…

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