Towards the cohomology of moduli spaces of higher genus stable maps

Abstract

We prove that the orbifold desingularization of the moduli space of stable maps of genus g = 1 recently constructed by Vakil and Zinger has vanishing rational cohomology groups in odd degree k < 10.

Preliminary version, comments are welcome

References in corpus (1)

• Tautological classes on the moduli spaces of stable maps to projective spaces