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• W2951760007 abstract "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. (The proof of this result is quite short and naive.) As consequences, we prove and generalize various conjectures and theorems about various moduli spaces of curves (due to Getzler, Ionel, Faber, Looijenga, Pandharipande, Diaz, and others). This theorem appears to be the geometric content behind these results; the rest is straightforward graph combinatorics. The theorem also suggests the importance of the stratification of the moduli space by number of rational components." @default.
• W2951760007 created "2019-06-27" @default.
• W2951760007 creator A5013856193 @default.
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• W2951760007 date "2003-09-14" @default.
• W2951760007 modified "2023-09-27" @default.
• W2951760007 title "Relative virtual localization and vanishing of tautological classes on moduli spaces of curves" @default.
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