# Remarks on monotone Lagrangians in $\mathbf{C}^n$

@article{Evans2011RemarksOM,
title={Remarks on monotone Lagrangians in \$\mathbf\{C\}^n\$},
author={Jonathan D. Evans and Jarek Kcedra},
journal={arXiv: Symplectic Geometry},
year={2011}
}
• Published 5 October 2011
• Mathematics
• arXiv: Symplectic Geometry
We derive some restrictions on the topology of a monotone Lagrangian submanifold $L\subset\mathbf{C}^n$ by making observations about the topology of the moduli space of Maslov 2 holomorphic discs with boundary on $L$ and then using Damian's theorem which gives conditions under which the evaluation map from this moduli space to $L$ has nonzero degree. In particular we prove that an orientable 3-manifold admits a monotone Lagrangian embedding in $\mathbf{C}^3$ only if it is a product, which is a…
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