LAGRANGIAN INTERSECTIONS AND THE SERRE SPECTRAL SEQUENCE
LAGRANGIAN INTERSECTIONS AND THE SERRE SPECTRAL SEQUENCE
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DOI：
10.4007/annals.2007.166.657
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发表时间：
2004-01
影响因子：
4.9
通讯作者：
J. Barraud;O. Cornea
中科院分区：
文献类型：
--
作者：
J. Barraud;O. Cornea
封闭的拉格朗日子流形的一对横向L, Lof sym - plectic流形M,π1(左)=π1 (L�)= 0 = c1 |π2 (M) =ω|π2 (M)和J几乎一个通用的复杂结构,我们构建一个不变的高homotopical页面的内容由≥2 o f作为压电陶瓷-击毙了序列的差异提供了一个代数高的测量——维模空间pseudo-holomorpic条有限能量加入L, L�。当L和Lare哈密顿同位素时，我们证明了谱序列的页重合（直到水平平移）与路径环纤维化的Serre谱序列的项ΩL→PL→L，并推断了一些应用。
For a transversal pair of closed Lagrangian submanifolds L, Lof a sym- plectic manifold M such that π1(L )= π1(L � )=0= c1|π2(M) = ω|π2(M) and for a generic almost complex structure J, we construct an invariant with a high homotopical content which consists in the pages of order ≥ 2o f as pec- tral sequence whose differentials provide an algebraic measure of the high- dimensional moduli spaces of pseudo-holomorpic strips of finite energy that join L and L � . When L and Lare Hamiltonian isotopic, we show that the pages of the spectral sequence coincide (up to a horizontal translation) with the terms of the Serre spectral sequence of the path-loop fibration ΩL → PL → L and we deduce some applications.