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arXiv · 2301.10285

On invariant operations of Fedosov structures

Adrián Gordillo-Merino·Raúl Martínez-Bohórquez·José Navarro-Garmendia
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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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Adrián Gordillo-Merino, Raúl Martínez-Bohórquez, José Navarro-Garmendia. 2023-01-24. On invariant operations of Fedosov structures. https://arxiv.org/abs/2301.10285

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