Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2019 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210308 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 proof of Faber's formula for those cases.
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| ISSN: | 1815-0659 |