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Tautological rings of stable map spaces
Authors:Anca M Musta?ǎ  Andrei Musta?ǎ
Institution:School of Mathematical Sciences, 153 Aras Na Laoi, University College Cork, Cork, Ireland
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 Pn, these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.
Keywords:Cohomology  Tautological  Moduli spaces  Stable maps
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