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2019 On Lagrangian embeddings of closed nonorientable $3$–manifolds
Toru Yoshiyasu
Algebr. Geom. Topol. 19(4): 1619-1630 (2019). DOI: 10.2140/agt.2019.19.1619

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, the minimal Maslov number of the Lagrangian embedding is equal to 1.

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Toru Yoshiyasu. "On Lagrangian embeddings of closed nonorientable $3$–manifolds." Algebr. Geom. Topol. 19 (4) 1619 - 1630, 2019. https://doi.org/10.2140/agt.2019.19.1619

Information

Received: 4 November 2016; Revised: 23 December 2018; Accepted: 10 February 2019; Published: 2019
First available in Project Euclid: 22 August 2019

zbMATH: 07121511
MathSciNet: MR3995015
Digital Object Identifier: 10.2140/agt.2019.19.1619

Subjects:
Primary: 53D12
Secondary: 57N35, 57R17

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 4 • 2019
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