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.
2019
18-ott-2019
Pubblicato
https://www.emis.de/journals/SIGMA/2019/080/
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3047119
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