Geodesic
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
Symmetry, integrability and geometry: methods and applications, Tome 15 (2019) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\mathcal{M}_g$, $g\geq 2$. We then prove several cases of the combinatorial identity, providing a new proof of Faber's formula for those cases.
Keywords: tautological ring, tautological relations, moduli spaces of curves, Faber intersection number conjecture
Mots-clés : odd-even binomial coefficients. 
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     author = {Elba Garcia-Failde and Reinier Kramer and Danilo Lewa\'nski and Sergey Shadrin},
     title = {Half-Spin {Tautological} {Relations} and {Faber's} {Proportionalities} of {Kappa} {Classes}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2019},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a79/}
}
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Elba Garcia-Failde; Reinier Kramer; Danilo Lewański; Sergey Shadrin. Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes. Symmetry, integrability and geometry: methods and applications, Tome 15 (2019). http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a79/

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