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arXiv · 2402.17746

A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem

Henrique Bursztyn·Miquel Cueca·Rajan Amit Mehta
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Abstract

This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric data and, building on this geometric viewpoint, we prove the Frobenius theorem for distributions in this graded setting.

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Henrique Bursztyn, Miquel Cueca, Rajan Amit Mehta. 2024-02-27. A geometric characterization of $\mathbb{N}$-manifolds and the Frobenius theorem. https://arxiv.org/abs/2402.17746

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