Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• ISSN: 1815-0659
• Main Authors: Garcia-Failde, E., Kramer, R., Lewański, D., Shadrin, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210308
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes / E. Garcia-Failde, R. Kramer, D. Lewański, S. Shadrin // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 22 назв. — англ.

We employ the 1/2-spin tautological relations to provide a particular combinatorial identity. We show that this identity is a statement equivalent to Faber's formula for proportionalities of kappa-classes on Mg, g≥2. We then prove several cases of the combinatorial identity, providing a new pro...