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Tautological rings of stable map spaces

Anca M. Mustata, Andrei Mustata

math.AGarXiv:math/0607432

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 n, these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.

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