Integration on vector bundles

DOI10.1007/BF01077599zbMath0691.58018OpenAlexW2014737041MaRDI QIDQ582654

Anton Zorich, Theodore Th. Voronov

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077599

zbMATH Keywords

supermanifoldsBeresin integrationCartan-de Rham integration

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Analysis on supermanifolds or graded manifolds (58C50)

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Integral representations on supermanifolds: super Hodge duals, PCOs and Liouville forms ⋮ On forms, cohomology and BV Laplacians in odd symplectic geometry ⋮ On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms ⋮ The integral form of supergravity ⋮ Multimetric supergravities ⋮ \(\Psi\text{ec}\): a local spectral exterior calculus ⋮ A class of integral transforms induced by morphisms of vector bundles ⋮ On the geometry of forms on supermanifolds ⋮ Quantization of \((-1)\)-shifted derived Poisson manifolds

Cites Work

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• Pseudocharacters on free products of semigroups
• Degenerate affine Hecke algebras and Yangians
• Complex forms on supermanifolds
• One conjecture of Steinberg
• Cohomology of supermanifolds