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

@article{Alexandrov2014OpenIN, title={Open intersection numbers, Kontsevich-Penner model and cut-and-join operators}, author={Alexander Alexandrov}, journal={Journal of High Energy Physics}, year={2014}, volume={2015}, pages={1-25} }

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 residue formula, which connects two generating functions of intersection numbers, appears in the general context of matrix models and tau-functions. This allows us to prove that the Kontsevich-Penner matrix integral indeed describes open intersection numbers. For arbitrary N we show that the string and…

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