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

Dragos Oprea

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

Dragos Oprea

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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.

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Dragos Oprea. 2005-12-10. Tautological classes on the moduli spaces of stable maps to projective spaces. https://arxiv.org/abs/math/0404284

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