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Buryak–Okounkov Formula for the n-Point Function and a New Proof of the Witten Conjecture

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… Click to show full 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.

Keywords: point; new proof; witten conjecture; buryak okounkov

Journal Title: International Mathematics Research Notices
Year Published: 2020

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