Symplectic topology of Lagrangian submanifolds of ℂPn with intermediate minimal Maslov numbers
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AbstractWe examine symplectic topological features of a certain family of monotone Lagrangian submanifolds in ℂPn. First we give cohomological constraints on a Lagrangian submanifold in ℂPn whose first integral homology is p-torsion. In the case where (n, p) = (5,3), (8, 3), we prove that the cohomologies with coefficients in ℤ2 of such Lagrangian submanifolds are isomorphic to that of SU(3)/(SO(3)ℤ3) and SU(3)/ℤ3, respectively. Then we calculate the Floer cohomology with coefficients in ℤ2 of a monotone Lagrangian submanifold SU(p)/ℤp in ${\mathbb C}P^{p^2-1}.$
2006 ◽
Vol 03
(05n06)
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pp. 1273-1292
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1996 ◽
Vol 120
(2)
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pp. 291-307
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1986 ◽
Vol 100
(1)
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pp. 91-107
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2017 ◽
Vol 28
(04)
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pp. 1750026
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2000 ◽
Vol 02
(03)
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pp. 365-372
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