1-cocycles on the group of contactomorphisms on the supercircles \(S^{1|1}\) and \(S^{1|2}\) generalizing the Schwarzian derivative
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Publication:391173
DOI10.1016/j.geomphys.2013.10.003zbMath1296.58003OpenAlexW59260089MaRDI QIDQ391173
Sabeur Mansour, Oussama Dammak, BoujemaĆ¢ Agrebaoui
Publication date: 10 January 2014
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.10.003
cohomologycontact vector fieldsgroup of contactomorphismsprojective cocyclesuper-Schwarzian derivativesupercircle
Supermanifolds and graded manifolds (58A50) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Contact manifolds (general theory) (53D10)
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Cites Work
- Differential operators on supercircle: conformally equivariant quantization and symbol calculus
- Second-order conformally equivariant quantization in dimension \(1|2\)
- Cohomology of \({\mathcal {K}(2)}\) acting on linear differential operators on the superspace \({\mathbb{R}^{1|2}}\)
- Groups acting on the circle.
- Projectively equivariant symbol calculus
- Invarianten linearer Differentialgleichungen
- Contact Schwarzian Derivatives
- On the Cohomology of the Lie Superalgebra of Contact Vector Fields onS1|m
- On the Projective Geometry of the Supercircle: A Unified Construction of the Super Cross-Ratio and Schwarzian Derivative
- Supertransvectants and Symplectic Geometry
- Conformal symbols and the action of contact vector fields over the superline
- Superconformally covariant operators and super-W-algebras
- Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
- Cohomology of the Lie Superalgebra of Contact Vector Fields on š1|1 and Deformations of the Superspace of Symbols
- PROJECTIVE AND CONFORMAL SCHWARZIAN DERIVATIVES AND COHOMOLOGY OF LIE ALGEBRAS VECTOR FIELDS RELATED TO DIFFERENTIAL OPERATORS
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