
Open access
Date
2019Type
- Journal Article
Abstract
The double ramification cycle satisfies a basic multiplicative relation DRCa⋅DRCb=DRCa⋅DRCa+b over the locus of compact-type curves, but this relation fails in the Chow ring of the moduli space of stable curves. We restore this relation over the moduli space of stable curves by introducing an extension of the double ramification cycle to the small b-Chow ring (the colimit of the Chow rings of all smooth blowups of the moduli space). We use this to give evidence for the conjectured equality between the (twisted) double ramification cycle and a cycle Pd,kg(A) described by the second author in [\textit{F. Janda} et al., Publ. Math., Inst. Hautes Étud. Sci. 125, 221--266 (2017; Zbl 1370.14029)]. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000405625Publication status
publishedExternal links
Journal / series
Documenta MathematicaVolume
Pages / Article No.
Publisher
Deutsche Mathematiker-VereinigungSubject
Moduli space of curves; strata of differentials; double ramification cycles; tautological classesMore
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