Moduli spaces of compact RCD(0,N)-structures
نویسندگان
چکیده
The goal of the paper is to set foundations and prove some topological results about moduli spaces non-smooth metric measure structures with non-negative Ricci curvature in a synthetic sense (via optimal transport) on compact space; more precisely, we study RCD(0,N)-structures. First, relate convergence RCD(0,N)-structures space associated lifts' equivariant universal cover. Then construct Albanese soul maps, which reflect how cover split, their continuity. Finally, examples that have non-trivial rational homotopy groups.
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2022
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-022-02493-7