## One Citation

### BKP hierarchy, affine coordinates, and a formula for connected bosonic n-point functions

- MathematicsLetters in Mathematical Physics
- 2022

We derive a formula for the connected n-point functions of a tau-function of the BKP hierarchy in terms of its affine coordinates. This is a BKP-analogue of a formula for KP tau-functions proved by…

## References

SHOWING 1-10 OF 57 REFERENCES

### The combinatorial formula for open gravitational descendents

- Mathematics
- 2015

In recent works, [20],[21], descendent integrals on the moduli space of Riemann surfaces with boundary were defined. It was conjectured in [20] that the generating function of these integrals…

### Geometric interpretation of Zhou’s explicit formula for the Witten–Kontsevich tau function

- Mathematics
- 2014

Based on the work of Itzykson and Zuber on Kontsevich’s integrals, we give a geometric interpretation and a simple proof of Zhou’s explicit formula for the Witten–Kontsevich tau function. More…

### Open intersection numbers and the wave function of the KdV hierarchy

- Mathematics
- 2014

Recently R. Pandharipande, J. Solomon and R. Tessler initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. They conjectured that the generating series of…

### Combinatorial models for moduli spaces of open Riemann surfaces

- Mathematics
- 2016

We present a simplified formulation of open intersection numbers, as an alternative to the theory initiated by Pandharipande, Solomon and Tessler. The relevant moduli spaces consist of Riemann…

### Refined open intersection numbers and the Kontsevich-Penner matrix model

- Mathematics
- 2017

A bstractA study of the intersection theory on the moduli space of Riemann surfaces with boundary was recently initiated in a work of R. Pandharipande, J.P. Solomon and the third author, where they…

### Intersection theory on moduli of disks, open KdV and Virasoro

- Mathematics
- 2014

We define a theory of descendent integration on the moduli spaces of stable pointed disks. The descendent integrals are proved to be coefficients of the�-function of an open KdV hierar- chy. A…

### Matrix Models and A Proof of the Open Analog of Witten’s Conjecture

- Mathematics
- 2015

In a recent work, R. Pandharipande, J. P. Solomon and the second author have initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. They conjectured that…

### Open intersection numbers, Kontsevich-Penner model and cut-and-join operators

- Mathematics
- 2014

A bstractWe continue our investigation of the Kontsevich-Penner model, which describes intersection theory on moduli spaces both for open and closed curves. In particular, we show how Buryak’s…

### Grothendieck’s dessins d’enfants in a web of dualities. III

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2023

We give a new proof of the equivalence between the dessin partition function and the partition function of the Laguerre unitary ensemble (LUE), originally found by Ambjørn and Chekhov. We also…