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

• 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
• 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

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.