On Lagrangian embeddings of closed non-orientable 3-manifolds
Symplectic Geometry
2019-08-21 v1 Geometric Topology
Abstract
We prove that for any compact orientable connected 3-manifold with torus boundary, a concatenation of it and the direct product of the circle and the Klein bottle with an open 2-disk removed admits a Lagrangian embedding into the standard symplectic 6-space. Moreover, minimal Maslov number of the Lagrangian embedding is equal to 1.
Keywords
Cite
@article{arxiv.1902.05289,
title = {On Lagrangian embeddings of closed non-orientable 3-manifolds},
author = {Toru Yoshiyasu},
journal= {arXiv preprint arXiv:1902.05289},
year = {2019}
}
Comments
9 pages, 2 figures, to appear in Algebraic and Geometric Topology