Computing top intersections in the tautological ring of $M_g$

Abstract

We derive effective recursion formulae of top intersections in the tautological ring $R^{\ast }(M_g)$ of the moduli space of curves of genus $g\ge 2$. As an application, we prove a convolution-type tautological relation in $R^{g-2}(M_g)$.

18 pages

References in corpus (6)

• The moduli space of stable quotients
• Relations in the tautological ring
• The moduli space of curves, double Hurwitz numbers, and Faber's intersection number conjecture
• A new proof of Faber's intersection number conjecture
• Relations in the tautological ring of $M_g$
• Descendent integrals and tautological rings of moduli spaces of curves

Cited by in corpus (5)

• Descendent integrals and tautological rings of moduli spaces of curves
• On the tautological rings of M_{g, 1} and its universal Jacobian
• Cycles on curves and Jacobians: a tale of two tautological rings
• Relations on Mbar_{g,n} via orbifold stable maps
• Relations in the Tautological Ring of the Universal Curve