Tautological rings of stable map spaces

Abstract

We find a set of generators and relations for the system of extended tautological rings associated to the moduli spaces of stable maps in genus zero, admitting a simple geometrical interpretation. In particular, when the target is $\PP^n$, these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.

some typos corrected

References in corpus (1)

• Intermediate Moduli Spaces of Stable Maps

Cited by in corpus (2)

• Moduli space of stable maps to projective space via GIT
• Universal relations on stable map spaces in genus zero