Cohomology of the structure sheaf of real and complex supermanifolds

DOI10.1063/1.527880zbMath0657.58006OpenAlexW2082798820MaRDI QIDQ3805487

Claudio Bartocci, Ugo Bruzzo

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527880

zbMATH Keywords

cohomologycomplex supermanifoldsDolbeault theoremDe Witt supermanifold

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Supermanifolds and graded manifolds (58A50)

Related Items (10)

Analysis on superspace: an overview ⋮ Existence of connections on superbundles ⋮ Foundations of supermanifold theory: The axiomatic approach ⋮ Chern–Simons forms on principal superfiber bundles ⋮ On a `super' version of Lie's third fundamental theorem ⋮ Characteristic classes of super vector bundles ⋮ Super line bundles ⋮ Problems of fields on super Riemann surfaces ⋮ On the structure of DeWitt supermanifolds ⋮ Analytic approach to a generalization of Chern classes in supergeometry

Cites Work

• Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras
• Supermanifold cohomology and the Wess-Zumino term of the covariant superstring action
• Some remarks on the differential-geometric approach to supermanifolds
• Super Riemann surfaces: Uniformization and Teichmüller theory
• Mathematical theory of super fibre bundles
• A global theory of supermanifolds
• Cohomology of supermanifolds

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