共 3 条
Uniqueness of Real Lagrangians up to Cobordism
被引:2
|作者:
Kim, Joontae
[1
]
机构:
[1] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea
关键词:
TORI;
SURFACES;
SPHERES;
D O I:
10.1093/imrn/rnz345
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
We prove that a real Lagrangian submanifold in a closed symplectic manifold is unique up to cobordism. We then discuss the classification of real Lagrangians in CP2 and S-2 x S-2. In particular, we show that a real Lagrangian in CP2 is unique up to Hamiltonian isotopy and that a real Lagrangian in S-2 x S-2 is either Hamiltonian isotopic to the antidiagonal sphere or Lagrangian isotopic to the Clifford torus.
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页码:6184 / 6199
页数:16
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