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Moduli space of symmetric connections

2001/12/28 by Stanislav Dubrovskiy, Dubrovskiy, Stanislav
Mathematics · Physics and Astronomy · #53B10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B10

paper · pdf · doi:10.48550/arxiv.math/0112291

16 pages. Submitted to Proceedings of European Summer School - NATO-ASI, St.Petersburg'2001

arxiv created 2001/12/28 · openalex publication_date 2001/12/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The action of origin-preserving diffeomorphisms on a space of jets of symmetric connections is considered. Dimensions of moduli spaces of generic connections are calculated. Poincaré series of the geometric structure of symmetric connection is constructed, and shown to be a rational function.

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