On the Maslov class rigidity for coisotropic submanifolds - Mathematics > Symplectic GeometryReport as inadecuate




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Abstract: We define the Maslov index of a loop tangent to the characteristic foliationof a coisotropic submanifold as the mean Conley-Zehnder index of a path in thegroup of linear symplectic transformations, incorporating the -rotation- of thetangent space of the leaf - this is the standard Lagrangian counterpart - andthe holonomy of the characteristic foliation. Furthermore, we show that, withthis definition, the Maslov class rigidity extends to the class of theso-called stable coisotropic submanifolds including Lagrangian tori and stablehypersurfaces.



Author: Viktor L. Ginzburg

Source: https://arxiv.org/







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