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The paper concerns a -rigidity result for the characteristic foliations in symplectic geometry. A symplectic homeomorphism (in the sense of Eliashberg-Gromov) which preserves a smooth hypersurface also preserves its characteristic foliation.
The relative cohomology of the contact Lie superalgebra with coefficients in the space of differential operators acting on tensor densities on , is calculated in N. Ben Fraj, I. Laraied, S. Omri (2013) and the generating -cocycles are expressed in terms of the infinitesimal super-Schwarzian derivative -cocycle , which is invariant with respect to the conformal subsuperalgebra of . In this work we study the supergroup case. We give an explicit construction of -cocycles of the group...
The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
A Lie version of Turaev’s -Frobenius algebras from 2-dimensional homotopy quantum field theory is proposed. The foundation for this Lie version is a structure we call a -quasi-Frobenius Lie algebra for a finite dimensional Lie algebra. The latter consists of a quasi-Frobenius Lie algebra together with a left -module structure which acts on via derivations and for which is -invariant. Geometrically, -quasi-Frobenius Lie algebras are the Lie algebra structures associated to symplectic...
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