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Tautological rings of stable map spaces

Anca M. Mustata·Andrei Mustata
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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.

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Anca M. Mustata, Andrei Mustata. 2006-08-12. Tautological rings of stable map spaces. https://arxiv.org/abs/math/0607432

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