The lagrange intersections for (ℂP
n
, ℝP
n
) |
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Authors: | Kung-Ching Chang Mei Yue Jiang |
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Institution: | (1) Institute of Mathematics, Peking University, 100871 Beijing, China |
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Abstract: | Summary If (M, ω) is a compact symplectic manifold andL ⊂M a compact Lagrangian submanifold and if φ is a Hamiltonian diffeomorphism ofM then the V. Arnold conjecture states (possibly under additional conditions) that the number of intersection section points
ofL and φ (L) can be estimated by #{Lϒφ (L)}≥ cuplength +1. We shall prove this conjecture for the special case (L, M)=(ℝP
n
, ℂP
n
) with the standard symplectic structure. |
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Keywords: | |
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