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

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dc.contributor.authorGarcia-Failde, E.
dc.contributor.authorKramer, R.
dc.contributor.authorLewański, D.
dc.contributor.authorShadrin, S.
dc.date.accessioned2025-12-05T09:31:15Z
dc.date.issued2019
dc.description.abstractWe 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 proof of Faber's formula for those cases.
dc.description.sponsorshipWe thank A. Buryak, J. Schmitt, and D. Zagier for useful comments on the first version of the paper. R.K., D.L., and S.S. were supported by the Netherlands Organization for Scientific Research. D.L. was also supported by the Max Planck Gesellschaft. E.G.-F. was supported by the Max Planck Gesellschaft and by the Labex Mathematics Hadamard. She is also grateful for the research stay at the University of Amsterdam, which made the beginning of this work possible. We thank the anonymous referees for many useful remarks.
dc.identifier.citationHalf-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.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.080
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14H10; 05A10
dc.identifier.otherarXiv: 1902.02742
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210308
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleHalf-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік