Geodesic
Nonorientable Lagrangian surfaces in rational 4–manifolds
Dai, Bo1 ; Ho, Chung-I2 ; Li, Tian-Jun3
1 School of Mathematical Sciences, Peking University, Beijing, China
2 Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan
3 Department of Mathematics, University of Minnesota, Minneapolis, MN, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 2837-2854

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

We show that for any nonzero class A in H2(X; ℤ2) in a rational 4−manifold X, A is represented by a nonorientable embedded Lagrangian surface L (for some symplectic structure) if and only if P(A) ≡ χ(L)(mod4), where P(A) denotes the mod 4 valued Pontryagin square of A.

DOI : 10.2140/agt.2019.19.2837
Classification : 53D12, 57Q35
Keywords: nonorientable Lagrangian surface, Lagrangian blowup

Dai, Bo 1 ; Ho, Chung-I 2 ; Li, Tian-Jun 3

1 School of Mathematical Sciences, Peking University, Beijing, China
2 Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan
3 Department of Mathematics, University of Minnesota, Minneapolis, MN, United States 
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Dai, Bo; Ho, Chung-I; Li, Tian-Jun. Nonorientable Lagrangian surfaces in rational 4–manifolds. Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 2837-2854. doi: 10.2140/agt.2019.19.2837

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