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Article Dans Une Revue International Mathematics Research Notices Année : 2021

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

Résumé

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.

Dates et versions

hal-03580835 , version 1 (18-02-2022)

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Citer

Alexander Alexandrov, Francisco Hernández Iglesias, Sergey Shadrin. Buryak–Okounkov Formula for the n -Point Function and a New Proof of the Witten Conjecture. International Mathematics Research Notices, 2021, 2021 (18), pp.14296-14315. ⟨10.1093/imrn/rnaa024⟩. ⟨hal-03580835⟩
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