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

@article{Evans2011RemarksOM,
  title={Remarks on monotone Lagrangians in \$\mathbf\{C\}^n\$},
  author={J. Evans and Jarek Kcedra},
  journal={arXiv: Symplectic Geometry},
  year={2011}
}
  • J. Evans, Jarek Kcedra
  • Published 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… CONTINUE READING
    7 Citations

    References

    SHOWING 1-10 OF 20 REFERENCES
    Constructing exact Lagrangian immersions with few double points
    • 33
    • PDF
    Straightening and bounded cohomology of hyperbolic groups
    • 87
    Lagrangian intersection floer theory : anomaly and obstruction
    • 727
    Simplicial Volume*
    • 11
    • PDF
    Negatively curved manifolds with exotic smooth structures
    • 73
    • PDF
    Symplectic rigidity: Lagrangian submanifolds
    • 93
    Introduction to Symplectic Field Theory
    • 618
    • PDF
    Finite group actions on 3-manifolds
    • 149