The kappa ring of the moduli of curves of compact type: II

2009/06/15 by Pandharipande, R.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.2658

Abstract

The subalgebra of the tautological ring of the moduli of curves of compact type generated by the kappa classes is studied. Relations, constructed via the virtual geometry of the moduli of stable maps, are used to prove universality results relating the kappa rings in genus 0 to higher genus. Predictions for kappa classes of the Gorenstein conjecture are proven.

Related

• The kappa ring of the moduli of curves of compact type: I
• Relations in the tautological ring of the moduli space of curves
• The kappa classes on the moduli spaces of curves
• Relations in the tautological ring
• On the structure of the kappa-ring