# Floer homology on the universal cover, a proof of Audin&#x27;s conjecture and other constraints on Lagrangian submanifolds - Mathematics > Symplectic Geometry

Floer homology on the universal cover, a proof of Audin&#x27;s conjecture and other constraints on Lagrangian submanifolds - Mathematics > Symplectic Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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.

Autor: Mihai Damian

Fuente: https://arxiv.org/