Conformally Fedosov manifolds

2012/10/20 by Michael Eastwood, Eastwood, Michael, Jan Slovak +1
Mathematics · #53A30 #53A40 #53B15 #53D05 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53A30 #msc:53A40 #msc:53B15 #msc:53D05

paper · pdf · doi:10.48550/arxiv.1210.5597

28 pages. This is a substantial update to include BGG machinery and the construction of differential complexes

arxiv created 2016/03/13 · arxiv updated 2016/03/15

Abstract

We introduce the notion of a conformally Fedosov structure and construct an associated Cartan connection. When an appropriate curvature vanishes, this allows us to construct a family of natural differential complexes akin to the BGG complexes from parabolic geometry.

Related

• Almost conformally almost Fedosov structures
• Formal geometry and Tamarkin--Tsygan calculi of dg manifolds
• Some differential complexes within and beyond parabolic geometry
• BGG Sequences -- A Riemannian perspective
• Bundles of Weyl structures and invariant calculus for parabolic geometries