The Axioms of Supermanifolds and a New Structure Arising From Them

DOI10.2307/2000462zbMath0636.58009OpenAlexW4255360258MaRDI QIDQ3776262

Mitchell J. Rothstein

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000462

zbMATH Keywords

supermanifoldaxiomatic definition of supermanifolds

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50)

Related Items

A geometrical version of Noether's theorem in supermechanics, Products and vector bundles within the category of \(G\)-supermanifolds, Some remarks on the differential-geometric approach to supermanifolds, Analysis on superspace: an overview, Quillen superconnections and connections on supermanifolds, Super Beltrami differentials, Super \(D\)-differentiation for \(R^{\infty}\)-supermanifolds, Foundations of supermanifold theory: The axiomatic approach, Supersymmetric Killing structures, Lie Supergroup Actions on Supermanifolds, On enlargability of infinite-dimensional Lie superalgebras, Berezin integration on DeWitt supermanifolds, A remark on a new category of supermanifolds, Smooth coalgebras, Forms and cohomology of supermanifolds under review, On the structure of DeWitt supermanifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global properties of supermanifolds
• Superspaces and supersymmetries
• The Structure of Supermanifolds
• The Theory of G ∞ -Supermanifolds
• Deformations of Complex Supermanifolds
• Two Approaches to Supermanifolds
• A global theory of supermanifolds