2017/12/31 by David Holmes, Jesse Leo Kass, Nicola Pagani
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Computer science #Fluid Dynamics Simulations and Interactions #Mathematics #Numerical methods for differential equations #Pure mathematics #Ramification #math.AG #msc:14D20 #msc:14H40 #msc:14K30
paper · pdf · doi:10.1007/s40879-018-0256-7
13 pages. Supersedes the published version. 3 small changes: (1) we correct a minus sign error in what are now Formulas 19 and 21, (2) we correct the definition of [DR] in Section 2.1, and (3) we add a citation to Dudin for Lemma 8. European Journal of Mathematics (2018)
openalex publication_date 2018/06/04 · arxiv created 2019/10/29 · arxiv updated 2019/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that the extension of the double ramification cycle defined by the first-named author (using modifications of the stack of stable curves) coincides with one of those defined by the last-two named authors (using an extended Brill–Noether locus on a suitable compactified universal Jacobians). In particular, in the untwisted case we deduce that both of these extensions coincide with that constructed by Li and Graber–Vakil using a virtual fundamental class on a space of rubber maps.