Geodesic
On Lagrangian embeddings of closed nonorientable 3–manifolds
Yoshiyasu, Toru1
1 Center for Genomic Medicine, Graduate School of Medicine, Kyoto University, Kyoto, Japan
Algebraic and Geometric Topology, Tome 19 (2019) no. 4, pp. 1619-1630

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2019.19.1619
Classification : 53D12, 57N35, 57R17
Keywords: Lagrangian submanifold, $h$–principle, loose Legendrian, Lagrangian cobordism, Lagrangian surgery, Maslov index

Yoshiyasu, Toru 1

1 Center for Genomic Medicine, Graduate School of Medicine, Kyoto University, Kyoto, Japan 
@article{10_2140_agt_2019_19_1619,
     author = {Yoshiyasu, Toru},
     title = {On {Lagrangian} embeddings of closed nonorientable 3{\textendash}manifolds},
     journal = {Algebraic and Geometric Topology},
     pages = {1619--1630},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2019},
     doi = {10.2140/agt.2019.19.1619},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.1619/}
}
TY  - JOUR
AU  - Yoshiyasu, Toru
TI  - On Lagrangian embeddings of closed nonorientable 3–manifolds
JO  - Algebraic and Geometric Topology
PY  - 2019
SP  - 1619
EP  - 1630
VL  - 19
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.1619/
DO  - 10.2140/agt.2019.19.1619
ID  - 10_2140_agt_2019_19_1619
ER  - 
%0 Journal Article
%A Yoshiyasu, Toru
%T On Lagrangian embeddings of closed nonorientable 3–manifolds
%J Algebraic and Geometric Topology
%D 2019
%P 1619-1630
%V 19
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.1619/
%R 10.2140/agt.2019.19.1619
%F 10_2140_agt_2019_19_1619
Yoshiyasu, Toru. On Lagrangian embeddings of closed nonorientable 3–manifolds. Algebraic and Geometric Topology, Tome 19 (2019) no. 4, pp. 1619-1630. doi: 10.2140/agt.2019.19.1619

Cité par Sources :