Tautological classes on the moduli spaces of stable maps to via torus actions

• Autores: Dragos Oprea
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 207, Nº 2, 2006, págs. 661-690
• Idioma: inglés
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• Resumen

  • 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 decomposition of the stack of stable maps in the context of Gathmann's moduli spaces of maps with prescribed contact order to a fixed hyperplane. We show that the decomposition is filterable.