Lagrangian Klein bottles in R^{2n}
Symplectic Geometry
2009-11-20 v3 Geometric Topology
Abstract
It is shown that the n-dimensional Klein bottle admits a Lagrangian embedding into R^{2n} if and only if n is odd.
Cite
@article{arxiv.0712.1760,
title = {Lagrangian Klein bottles in R^{2n}},
author = {Stefan Nemirovski},
journal= {arXiv preprint arXiv:0712.1760},
year = {2009}
}
Comments
V.2 - explicit formula for the Luttinger-type surgery; V.3 - section 3 corrected, section 6 expanded; 6 pages