On BV supermanifolds and the super Atiyah class

DOI10.1007/s40879-023-00603-6OpenAlexW4324347376MaRDI QIDQ2699557

Simone Noja

Publication date: 19 April 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.08136

zbMATH Keywords

supermanifoldsdifferential and integral formsodd symplectic manifoldssuper Atiyah class

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Supervarieties (14M30) Geometry and quantization, symplectic methods (81S10) de Rham cohomology and algebraic geometry (14F40) Complex supergeometry (32C11)

Related Items (2)

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Cites Work

• Shifted symplectic structures
• Super Atiyah classes and obstructions to splitting of supermoduli space
• On complex Lie supergroups and split homogeneous supermanifolds
• On forms, cohomology and BV Laplacians in odd symplectic geometry
• On the origin of the BV operator on odd symplectic supermanifolds
• Geometry of Batalin-Vilkovisky quantization
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• Connections and splittings of super-manifolds
• Projective superspaces in practice
• One-dimensional super Calabi-Yau manifolds and their mirrors
• Complex geometry. An introduction
• Semidensities on odd symplectic supermanifolds
• A note on super Koszul complex and the Berezinian
• The universal de Rham / Spencer double complex on a supermanifold
• BV-BFV approach to general relativity: Palatini-Cartan-Holst action
• Supermoduli Space is Not Projected
• Complex Analytic Connections in Fibre Bundles
• String Topology in Dimensions Two and Three
• Quantum Field Theory: Batalin–Vilkovisky Formalism and Its Applications
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