2010/10/25 by Stanislav Dubrovskiy, Dubrovskiy, Stanislav
Mathematics · #53B05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53B05
paper · pdf · doi:10.48550/arxiv.1010.5285
10 pages
arxiv created 2010/10/25 · openalex publication_date 2010/10/25 · arxiv updated 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider local invariants of general connections (with torsion). The group of origin-preserving diffeomorphisms acts on a space of jets of general connections. Dimensions of moduli spaces of generic connections are calculated. Poincaré series of the geometric structure of connection is constructed, and shown to be a rational function, confirming the finiteness assertion of Tresse.