Half-spin tautological relations and Faber's proportionalities of kappa classes
| Authors |
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| Publication date | 18-10-2019 |
| Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Article number | 080 |
| Volume | Issue number | 15 |
| Number of pages | 27 |
| Organisations |
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| Abstract | 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. |
| Document type | Article |
| Note | Contribution to the Special Issue on Integrability, Geometry, Moduli in honor of Motohico Mulase for his 65th birthday |
| Language | English |
| Published at | https://doi.org/10.3842/SIGMA.2019.080 |
| Other links | https://www.scopus.com/pages/publications/85074157152 https://arxiv.org/abs/1902.02742 |
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Half-spin tautological relations and Faber's proportionalities of kappa classes
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