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arXiv · 1902.05289

On Lagrangian embeddings of closed non-orientable 3-manifolds

Toru Yoshiyasu
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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.

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Toru Yoshiyasu. 2019-02-14. On Lagrangian embeddings of closed non-orientable 3-manifolds. https://doi.org/10.2140/agt.2019.19.1619

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