Floer homology on the universal cover, a proof of Audin's conjecture and other constraints on Lagrangian submanifolds - Mathematics > Symplectic GeometryReport as inadecuate




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Abstract: We establish a new version of Floer homology for monotone Lagrangiansubmanifolds and apply it to prove the following generalized version ofAudin-s conjecture : if $L$ is an aspherical manifold which admits a monotoneLagrangian embedding in ${\bf C^{n}}$, then its Maslov number equals $2$. Wealso prove other results on the topology of monotone Lagrangian submanifolds$L\subset M$ of maximal Maslov number under the hypothesis that they aredisplaceable through a Hamiltonian isotopy.



Author: Mihai Damian

Source: https://arxiv.org/



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