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arXiv · 1902.03160

Buryak-Okounkov formula for the $n$-point function and a new proof of the Witten conjecture

Alexander Alexandrov·Francisco Hernández Iglesias·Sergey Shadrin
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Abstract

We identify the formulas of Buryak and Okounkov for the n-point functions of the intersection numbers of psi-classes on the moduli spaces of curves. This allows us to combine the earlier known results and this one into a principally new proof of the famous Witten conjecture / Kontsevich theorem, where the link between the intersection theory of the moduli spaces and integrable systems is established via the geometry of double ramification cycles.

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Alexander Alexandrov, Francisco Hernández Iglesias, Sergey Shadrin. 2019-09-28. Buryak-Okounkov formula for the $n$-point function and a new proof of the Witten conjecture. https://doi.org/10.1093/imrn%2Frnaa024

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