Lagrangian Intersections and the Serre Spectral Sequence
| dc.creator | Barraud, J. F. | |
| dc.creator | Cornea, O. | |
| dc.date | 2004-01-09 | |
| dc.date | 2007-07-21 | |
| dc.date.accessioned | 2026-07-07T08:19:30Z | |
| dc.date.available | 2026-07-07T08:19:30Z | |
| dc.description | For a transversal pair of closed Lagrangian submanifolds L, L' of a symplectic manifold M so that $π_{1}(L)=π_{1}(L')=0=c_{1}|_{π_{2}(M)}=ω|_{π_{2}(M)}$ and a generic almost complex structure J we construct an invariant with a high homotopical content which consists in the pages of order $\geq 2$ of a spectral 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 L' are hamiltonian isotopic, these pages coincide (up to a horizontal translation) with the terms of the Serre-spectral sequence of the path-loop fibration $ΩL\to PL\to L$. Among other applications we prove that, in this case, each point $x\in L\backslash L'$ belongs to some pseudo-holomorpic strip of symplectic area less than the Hofer distance between L and L'. | |
| dc.description | 55 pages. LaTeX. fixed some imprecisions in the appendix | |
| dc.identifier | https://arxiv.org/abs/math/0401094 | |
| dc.identifier | http://arxiv.org/abs/math/0401094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134783 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D40, 53D12 | |
| dc.title | Lagrangian Intersections and the Serre Spectral Sequence | |
| dc.type | text |