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

In this paper, we obtain explicit expressions for Pandharipande-Pixton-Zvonkine relations in the second rational cohomology of ℳ¯,ₙ, and, comparing the result with Arbarello-Cornalba's theorem, we prove Pixton's conjecture in this case.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Gubarevich, Danil
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212607
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the Picard Group of the Moduli Space of Curves via -Spin Structures. Danil Gubarevich. SIGMA 20 (2024), 088, 16 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine