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

Abstract

We present a localization proof of the fact that the cohomology of the moduli spaces of genus zero stable maps to projective spaces is entirely tautological. In addition, we obtain a description of a Bialynicki-Birula stratification in the context of Gathmann's moduli spaces of maps with prescribed contact order to a fixed hyperplane.

Cited by in corpus (3)

• The Chow ring of Mbar_{0,m}(n, d)
• Pointed trees of projective spaces
• A presentation for the Chow ring A^*(\bar{M}_{0,2}(P^1,2))