Work

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

Year: 2025

Type: article

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.

Source: Journal of Noncommutative Geometry

DOI: 10.4171/jncg/623

Authors: Henrique Bursztyn, Miquel Cueca, Rajan Amit Mehta

Institutions: Instituto Nacional de Matemática Pura e Aplicada, KU Leuven, Smith College

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410829136

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