Relative virtual localization and vanishing of tautological classes on moduli spaces of curves
نویسندگان
چکیده
منابع مشابه
Relative Virtual Localization and Vanishing of Tautological Classes on Moduli Spaces of Curves
We prove a localization formula for the moduli space of stable relative maps. As an application, we prove that all codimension i tautological classes on the moduli space of stable pointed curves vanish away from strata corresponding to curves with at least i− g + 1 genus 0 components. As consequences, we prove and generalize various conjectures and theorems about various moduli spaces of curves...
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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 on M0,n(P , d) in the context of Gathmann’s moduli spaces of maps with prescribed contact order to a fixed hyperplane. In our previous paper [O], we introduced the ...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2005
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-05-13011-3