, telle que pour tout (R, u) dans M Ln,H,J 0 (x, y) on a : |E(u) ? ?
Pour n assez grand, L n appartient au voisinage W(L 0 ; J 0 , ?, K) et l'homologie de Floer HF (L n , q; J 0 , ?, K) est bien dénie. L'entier n étant xé, C; 2?(n + 1) + 3?) ,
,
, Puisque l'on travaille sur une Lagrangienne xée
A Lagrangian Piunikhin-Salamon-Schwarz Morphism and Two Comparison Homomorphisms in Floer Homology, International Mathematics Research Notices, p.134, 2008. ,
DOI : 10.1093/imrn/rnm134
URL : https://academic.oup.com/imrn/article-pdf/doi/10.1093/imrn/rnm134/1999195/rnm134.pdf
Characteristic class entering in quantization conditions. Funktsional'nyi Analiz i Ego Prilozheniya, vol.1, p.114, 1967. ,
Torus actions on symplectic manifolds, Progress in Mathematics, vol.93, 2004. ,
DOI : 10.1007/978-3-0348-7960-6
URL : https://hal.archives-ouvertes.fr/hal-00135269
Morse theory and Floer homology, 2014. ,
A geometric invariant for discrete groups, Invent. Math, vol.90, p.451477, 1987. ,
DOI : 10.1007/bf01389175
Valuations on free resolutions and higher geometric invariants of groups, Commentarii Mathematici Helvetici, vol.63, p.464497, 1998. ,
Lagrangian non-intersections. Geometric and Functional Analysis, vol.16, p.279326, 2006. ,
DOI : 10.1007/s00039-006-0560-0
URL : http://arxiv.org/pdf/math/0412110
, Symplectic topology on subcritical manifolds. Commentarii Mathematici Helvetici, vol.76, p.712753, 2001.
DOI : 10.1007/s00014-001-8326-7
URL : http://www.ems-ph.org/journals/show_pdf.php?issn=0010-2571&vol=76&iss=4&rank=7
Quantum Structures for Lagrangian Submanifolds, 2007. ,
Rigidity and uniruling for Lagrangian submanifolds, Geom. Topol, vol.13, issue.5, p.28812989, 2009. ,
DOI : 10.2140/gt.2009.13.2881
URL : http://msp.org/gt/2009/13-5/gt-v13-n5-p08-s.pdf
The Maslov class of Lagrangian tori and quantum products in Floer cohomology, 2006. ,
Punctured holomorphic curves and Lagrangian embeddings. Inventiones mathematicae, vol.212, p.213295, 2018. ,
DOI : 10.1007/s00222-017-0767-8
URL : http://arxiv.org/pdf/1411.1870
Homologie de Novikov et applications en topologie symplectique, 1999. ,
Formes fermées non singulières et propriétés de nitude des groupes, Ann. Scient. Ec. Norm. Sup, vol.33, issue.4, p.301320, 2000. ,
Floer homology on the universal cover, a proof of Audin's conjecture and other constraints on Lagrangian submanifolds, Commentarii Mathematici Helvetici, vol.87, p.433462, 2012. ,
, On the topology of monotone Lagrangian submanifolds. Annales Scientiques de l'École Normale Supérieure, vol.48, p.237252, 2015.
, Morse theory and Floer homology. Lecture notes, 2012.
, Introduction to Symplectic Field Theory, p.560673, 2010.
DOI : 10.1007/978-3-0346-0425-3_4
URL : http://arxiv.org/pdf/math/0010059v1.pdf
, Convex symplectic manifolds. Several complex variables and complex geometry, Part, vol.2, p.135162, 1991.
DOI : 10.1090/pspum/052.2/1128541
Rigidsubsets of symplectic manifolds, Compositio Mathematica, vol.3, issue.145, p.773826, 2009. ,
Remarks on monotone Lagrangians in C n, Math. Res. Lett, vol.21, issue.6, p.12411255, 2014. ,
DOI : 10.4310/mrl.2014.v21.n6.a2
URL : http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2014/0021/0006/MRL-2014-0021-0006-a002.pdf
Morse theory for Lagrangian intersections, J. Di. Geom, vol.28, pp.513-547, 1988. ,
DOI : 10.4310/jdg/1214442477
URL : https://doi.org/10.4310/jdg/1214442477
Gromov convergence of pseudoholomorphic disks, Journal of Fixed Point Theory and Applications, vol.3, issue.2, p.215271, 2008. ,
DOI : 10.1007/s11784-008-0078-1
Sous-variétés Lagrangiennes monotones, 2008. ,
Pseudoholomorphic curves in symplectic manifolds, Invent. Math, vol.82, issue.2, p.307347, 1985. ,
On the topological properties of symplectic maps, Proceedings of the Royal Society of Edinburgh : Section A Mathematics, p.2538, 1990. ,
New lower bounds on the number of intersections of monotone Lagrangian submanifolds, Transactions, 2018. ,
Existence de 1-formes fermées non-singulières dans une classe de cohmologie de de Rham, Publ. Math. IHES, vol.80, 1994. ,
DOI : 10.1007/bf02698899
URL : http://www.numdam.org/article/PMIHES_1994__80__135_0.pdf
Existence of a somewhere injective pseudo-holomorphic disc, Geometric & Functional Analysis GAFA, vol.10, issue.4, p.829862, 2000. ,
A user's guide to spectral sequences, 2001. ,
Displacing Lagrangian toric bers via probes, Proceedings of Symposia in Pure Mathematics, vol.82, 2011. ,
J-holomorphic curves and symplectic topology, volume 52 of Colloquium publications, 2004. ,
Structures quantiques de certaines sous-variétés Lagrangiennes nonmonotones, 2010. ,
Multivalued functions and functionals. An analogue of the Morse theory, Soviet. Math. Dokl, vol.24, issue.2, p.222226, 1981. ,
The Künneth formula in Floer homology for manifolds with restricted contact type boundary, Mathematische Annalen, vol.334, issue.1, p.6589, 2006. ,
Floer cohomology of Lagrangian intersections and pseudoholomorphic disks, I. Communications on Pure and Applied Mathematics, vol.46, issue.7, p.949993, 1993. ,
Floer cohomology of Lagrangian intersections and pseudoholomorphic disks II : (CP n , RP n ), Communications on Pure and Applied Mathematics, vol.46, issue.7, p.9951012, 1993. ,
Floer cohomology of Lagrangian intersections and pseudoholomorphic disks. I, Communications on Pure and Applied Mathematics, vol.48, issue.11, p.12991302, 1995. ,
Floer cohomology, spectral sequences, and the Maslov class of Lagragian embbedings, International Mathematics Research Notices, vol.7, p.305346, 1996. ,
Quelques propriétés globales des espaces de Riemann, Commentarii Mathematici Helvetici, vol.15, issue.1, p.175216, 1942. ,
DOI : 10.1007/bf02565638
URL : https://www.research-collection.ethz.ch/bitstream/20.500.11850/135225/1/eth-21497-01.pdf
Intersection de sous-variétés lagrangiennes, fonctionnelles d'action et indice des systèmes hamiltoniens, Bull. Soc. math. France, vol.115, p.361390, 1987. ,
DOI : 10.24033/bsmf.2082
URL : http://www.numdam.org/article/BSMF_1987__115__361_0.pdf
Symplectic real algebraic geometry, 2000. ,