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Aleksandrov, Alexander
기하학 수리물리 연구단
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Buryak–Okounkov Formula for the n-Point Function and a New Proof of the Witten Conjecture

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Title
Buryak–Okounkov Formula for the n-Point Function and a New Proof of the Witten Conjecture
Author(s)
Alexander Alexandrov; Francisco Hernández Iglesias; Sergey Shadrin
Publication Date
2021-09
Journal
International Mathematics Research Notices, v.2021, no.18, pp.14296 - 14315
Publisher
Oxford University Press
Abstract
© The Author(s) 2020. 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.
URI
https://pr.ibs.re.kr/handle/8788114/8362
DOI
10.1093/imrn/rnaa024
ISSN
1073-7928
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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