On invariant operations of Fedosov structures

2023/01/24 by Adrián Gordillo-Merino, Gordillo-Merino, Adrián, Raúl Martínez-Bohórquez +3 · 1 citation
Mathematics · #Algebraic and Geometric Analysis #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2301.10285

Abstract

In this paper we study invariant local operations that can performed on a Fedosov manifold, with a particular emphasis on tensor-valued operations (also known as natural tensors). Our main result describes the spaces of homogeneous natural tensors as certain finite dimensional linear representations of the symplectic group.

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