Differential calculus over graded commutative algebras and vector bundles with inner structures

DOI10.1090/conm/789/15844zbMath1528.58001MaRDI QIDQ6049771

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Publication date: 15 September 2023

Published in: The Diverse World of PDEs (Search for Journal in Brave)

zbMATH Keywords

vector bundlesgraded algebrasdifferential calculus

Mathematics Subject Classification ID

Jets in global analysis (58A20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Supermanifolds and graded manifolds (58A50) Differentiable manifolds, foundations (58A05)

Cites Work

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• Iterated differential forms: tensors
• Lagrangian formalism over graded algebras
• On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms
• Fiberwise linear differential operators
• Logic of differential calculus and the Zoo of geometric structures
• Complex Analytic Connections in Fibre Bundles
• WHAT IS THE HAMILTONIAN FORMALISM?
• Smooth Manifolds and Observables

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