On the rigidity of the coisotropic Maslov index on certain rational symplectic manifolds |
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Authors: | Marta Batoréo |
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Institution: | 1. Department of Mathematics, University of California at Santa Cruz, Santa Cruz, CA, 95064, USA
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Abstract: | We revisit the definition of the Maslov index of loops in coisotropic submanifolds tangent to the characteristic foliation of this submanifold. This Maslov index is given by the mean index of a certain symplectic path which is a lift of the holonomy along the loop. We prove a Maslov index rigidity result for stable coisotropic submanifolds in a broad class of ambient symplectic manifolds. Furthermore, we establish a nearby existence theorem for the same class of ambient manifolds. |
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