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

Open Access
Authors
Publication date 09-2021
Journal International Mathematics Research Notices
Volume | Issue number 2021 | 18
Pages (from-to) 14296-14315
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at https://doi.org/10.1093/imrn/rnaa024
Other links https://www.scopus.com/pages/publications/85122331377
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