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 M-g, g >= 2. We then prove several cases of the combinatorial identity, providing a new proof of Faber's formula for those cases.
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
Lewanski D;
2019-01-01
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 M-g, g >= 2. We then prove several cases of the combinatorial identity, providing a new proof of Faber's formula for those cases.File in questo prodotto:
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