Characteristic classes of super vector bundles

DOI10.1063/1.528606zbMath0731.58006OpenAlexW2077911190MaRDI QIDQ3357124

Daniel Hernandez Ruiperez, Ugo Bruzzo

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528606

zbMATH Keywords

characteristic classessupermanifoldscurvature formsBerezin-Leites-Kostant graded manifoldsDeWitt-Rogers supermanifoldsG- supermanifoldssupervector bundles

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Supermanifolds and graded manifolds (58A50)

Related Items

Analysis on superspace: an overview ⋮ ON A THEORY OF CHERN CLASSES FOR SUPER VECTOR BUNDLES ⋮ Foundations of supermanifold theory: The axiomatic approach ⋮ Chern–Simons forms on principal superfiber bundles ⋮ A remark on a new category of supermanifolds ⋮ Analytic approach to a generalization of Chern classes in supergeometry

Cites Work

• Existence of connections on superbundles
• Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras
• Some remarks on the differential-geometric approach to supermanifolds
• Cohomology of the structure sheaf of real and complex supermanifolds
• A global theory of supermanifolds
• Super Lie groups: global topology and local structure
• Cohomology of supermanifolds