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

Henrique Bursztyn; Miquel Cueca; Rajan Amit Mehta

doi:10.4171/jncg/623

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A geometric characterization of $N$ -graded manifolds and the Frobenius theorem

Henrique Bursztyn
Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil
ORCID
Miquel Cueca
KU Leuven, Leuven, Belgium
ORCID
Rajan Amit Mehta
Smith College, Northampton, USA
ORCID

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

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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.

Cite this article

Henrique Bursztyn, Miquel Cueca, Rajan Amit Mehta, A geometric characterization of $N$ -graded manifolds and the Frobenius theorem. J. Noncommut. Geom. (2025), published online first

DOI 10.4171/JNCG/623