On the Picard Group of the Moduli Space of Curves via 𝑟-Spin Structures

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dc.contributor.authorGubarevich, Danil
dc.date.accessioned2026-02-09T08:05:32Z
dc.date.issued2024
dc.description.abstractIn this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of ℳ¯𝑔,ₙ, and, comparing the result with Arbarello-Cornalba's theorem, we prove Pixton's conjecture in this case.
dc.description.sponsorshipThe author is very thankful to P. Dunin-Barkowski for numerous discussions and competent advice throughout the project. I am also grateful to D. Zvonkine for teaching me a trick used in the genus 2 case, which led to a significant simplification, and for helpful remarks. I thank anonymous referees for numerous tips. The author is partially supported by the International Laboratory of Cluster Geometry NRU HSE, RF Government grant, etc., no. 075-15-2021-608 dated 08.06.2021.
dc.identifier.citationOn the Picard Group of the Moduli Space of Curves via 𝑟-Spin Structures. Danil Gubarevich. SIGMA 20 (2024), 088, 16 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2024.088
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 14H10; 14N35
dc.identifier.otherarXiv:2112.10182
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/212607
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleOn the Picard Group of the Moduli Space of Curves via 𝑟-Spin Structures
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2024, том 20, випуск за цей рік