The category of \(\mathbb{Z}\)-graded manifolds: what happens if you do not stay positive

DOI10.1016/j.difgeo.2024.102109arXiv2108.13496OpenAlexW4391425711MaRDI QIDQ6192134

Alexei Kotov, Vladimir Salnikov

Publication date: 11 March 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.13496

zbMATH Keywords

categoriesgraded manifoldsBatchelor's theoremBorel's lemma

Mathematics Subject Classification ID

Differential geometry (53-XX) Category theory; homological algebra (18-XX)

Cites Work

• Unnamed Item
• 2d gauge theories and generalized geometry
• Gauging without initial symmetry
• Efficient solution of linear diophantine equations
• Introduction to graded geometry
• Differential graded Lie groups and their differential graded Lie algebras
• Characteristic classes associated to Q-bundles
• Global theory of graded manifolds
• Graded Geometry, Q‐Manifolds, and Microformal Geometry
• Normal forms of \(\mathbb{Z}\)-graded \(Q\)-manifolds
• Various instances of Harish-Chandra pairs

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