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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| 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| id |
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Garcia-Failde, E. Kramer, R. Lewański, D. Shadrin, S. 2025-12-05T09:31:15Z 2019 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. 1815-0659 2010 Mathematics Subject Classification: 14H10; 05A10 arXiv: 1902.02742 https://nasplib.isofts.kiev.ua/handle/123456789/210308 https://doi.org/10.3842/SIGMA.2019.080 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. We 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes |
| spellingShingle |
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes Garcia-Failde, E. Kramer, R. Lewański, D. Shadrin, S. |
| title_short |
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes |
| title_full |
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes |
| title_fullStr |
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes |
| title_full_unstemmed |
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes |
| title_sort |
half-spin tautological relations and faber's proportionalities of kappa classes |
| author |
Garcia-Failde, E. Kramer, R. Lewański, D. Shadrin, S. |
| author_facet |
Garcia-Failde, E. Kramer, R. Lewański, D. Shadrin, S. |
| publishDate |
2019 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210308 |
| citation_txt |
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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| first_indexed |
2025-12-07T21:25:06Z |
| last_indexed |
2025-12-07T21:25:06Z |
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