# Topological recursion for open intersection numbers

@article{Safnuk2016TopologicalRF,
title={Topological recursion for open intersection numbers},
author={B. Safnuk},
journal={arXiv: Mathematical Physics},
year={2016}
}
• B. Safnuk
• Published 2016
• Mathematics, Physics
• arXiv: Mathematical Physics
• We present a topological recursion formula for calculating the intersection numbers defined on the moduli space of open Riemann surfaces. The spectral curve is $x = \frac{1}{2}y^2$, the same as spectral curve used to calculate intersection numbers for closed Riemann surfaces, but the formula itself is a variation of the usual Eynard-Orantin recursion. It looks like the recursion formula used for spectral curves of degree 3, and also includes features present in $\beta$-deformed models. The… CONTINUE READING
8 Citations