Elements of supergeometry
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Publication:1175805
DOI10.1007/BF01098184zbMath0736.58004MaRDI QIDQ1175805
I. B. Penkov, Alexander A. Voronov, Yuri I. Manin
Publication date: 25 June 1992
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
characteristic classessupermanifoldsGrothendieck-Riemann-Roch theoremSerre dualityinvertible sheavesBerezinian dualizing sheafcomplex supergeometry
Related Items (15)
Symmetric pairs and Gorelik elements ⋮ Projective superspaces in practice ⋮ On the Geometry of Super Riemann Surfaces ⋮ On the geometry of forms on supermanifolds ⋮ Jantzen filtration of Weyl modules for general linear supergroups ⋮ \(\mathbb{A}^{0|1}\)-torsors, quotients by free \(\mathbb{A}^{0|1}\)-actions, and embeddings into \(\Pi\)-projective spaces and super-Grassmannians \(G(1|1, n|n)\) ⋮ Localization theorem for homological vector fields ⋮ The geometry of \(\Pi\)-invertible sheaves ⋮ Supersymmetry and the formal loop space ⋮ On the super Mumford form in the presence of Ramond and Neveu-Schwarz punctures ⋮ Line bundles over families of (super) Riemann surfaces. I: The non-graded case. II: The graded case ⋮ Regularity of the superstring supermeasure and the superperiod map ⋮ On super Plücker embedding and cluster algebras ⋮ Spherical supervarieties ⋮ Analytic approach to a generalization of Chern classes in supergeometry
Cites Work
- D-modules on supermanifolds
- Invariant subspaces and properties of the spectra of plus-operators with a quasifocusing power in a Krein space
- Superconnections and the Chern character
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Deformations of Complex Supermanifolds
- The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
- La formule de dualite globale
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