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

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

2004-04-16

arxiv.org/abs/math/0404284v3

Mathematics

Algebraic Geometry

Scientific paper

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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