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Lagrangian intersections, symplectic energy, and areas of holomorphic curves
Yu. V. Chekanov
Source: Duke Math. J. Volume 95, Number 1
(1998), 213-226.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077229508
Mathematical Reviews number (MathSciNet): MR1646550
Zentralblatt MATH identifier: 0977.53077
Digital Object Identifier: doi:10.1215/S0012-7094-98-09506-0
References
[1] V. I. Arnold, Sur une propriété topologique des applications globalement canoniques de la mécanique classique, C. R. Acad. Sci. Paris 261 (1965), 3719–3722.
Mathematical Reviews (MathSciNet): MR33:1861
Zentralblatt MATH: 0134.42305
[2] M. Audin, F. Lalonde, and L. Polterovich, Symplectic rigidity: Lagrangian submanifolds, Holomorphic Curves in Symplectic Geometry eds. M. Audin and J. Lafontaine, Progr. Math., vol. 117, Birkhäuser, Basel, 1994, pp. 271–321.
Mathematical Reviews (MathSciNet): MR1274934
[3] Yu. V. Chekanov, Hofer's symplectic energy and Lagrangian intersections, Contact and Symplectic Geometry (Cambridge, 1994) ed. C. B. Thomas, Publ. Newton Inst., vol. 8, Cambridge Univ. Press, Cambridge, 1996, pp. 296–306.
Mathematical Reviews (MathSciNet): MR98b:58058
Zentralblatt MATH: 0867.58026
[4] A. Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988), no. 3, 513–547.
Mathematical Reviews (MathSciNet): MR90f:58058
Zentralblatt MATH: 0674.57027
Project Euclid: euclid.jdg/1214442477
[5] A. Floer, The unregularized gradient flow of the symplectic action, Comm. Pure Appl. Math. 41 (1988), no. 6, 775–813.
Mathematical Reviews (MathSciNet): MR89g:58065
Zentralblatt MATH: 0633.53058
Digital Object Identifier: doi:10.1002/cpa.3160410603
[6] A. Floer, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. 120 (1989), no. 4, 575–611.
Mathematical Reviews (MathSciNet): MR90e:58047
Zentralblatt MATH: 0755.58022
Digital Object Identifier: doi:10.1007/BF01260388
Project Euclid: euclid.cmp/1104177909
[7] A. Floer, Witten's complex and infinite-dimensional Morse theory, J. Differential Geom. 30 (1989), no. 1, 207–221.
Mathematical Reviews (MathSciNet): MR90d:58029
Zentralblatt MATH: 0678.58012
Project Euclid: euclid.jdg/1214443291
[8] M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), no. 2, 307–347.
Mathematical Reviews (MathSciNet): MR87j:53053
Zentralblatt MATH: 0592.53025
Digital Object Identifier: doi:10.1007/BF01388806
[9] H. Hofer, Lagrangian embeddings and critical point theory, Ann. Inst. H. Poincaré Anal. Non Linéaire 2 (1985), no. 6, 407–462.
Mathematical Reviews (MathSciNet): MR87i:58059
Zentralblatt MATH: 0591.58009
[10] H. Hofer, On the topological properties of symplectic maps, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), no. 1-2, 25–38.
Mathematical Reviews (MathSciNet): MR91h:58042
Zentralblatt MATH: 0713.58004
[11] F. Lalonde and D. McDuff, The geometry of symplectic energy, Ann. of Math. (2) 141 (1995), no. 2, 349–371.
Mathematical Reviews (MathSciNet): MR96a:58089
Zentralblatt MATH: 0829.53025
Digital Object Identifier: doi:10.2307/2118524
JSTOR: links.jstor.org
[12] F. Laudenbach and J.-C. Sikorav, Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent, Invent. Math. 82 (1985), no. 2, 349–357.
Mathematical Reviews (MathSciNet): MR87c:58042
Zentralblatt MATH: 0592.58023
Digital Object Identifier: doi:10.1007/BF01388807
[13] Y.-G. Oh, Removal of boundary singularities of pseudo-holomorphic curves with Lagrangian boundary conditions, Comm. Pure Appl. Math. 45 (1992), no. 1, 121–139.
Mathematical Reviews (MathSciNet): MR92k:58065
Zentralblatt MATH: 0743.58018
Digital Object Identifier: doi:10.1002/cpa.3160450106
[14] Y.-G. Oh, Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings, Internat. Math. Res. Notices (1996), no. 7, 305–346.
Mathematical Reviews (MathSciNet): MR97j:58048
Zentralblatt MATH: 0858.58017
Digital Object Identifier: doi:10.1155/S1073792896000219
[15] L. V. Polterovich, Symplectic displacement energy for Lagrangian submanifolds, Ergodic Theory Dynam. Systems 13 (1993), no. 2, 357–367.
Mathematical Reviews (MathSciNet): MR94h:58081
Zentralblatt MATH: 0781.58007
Digital Object Identifier: doi:10.1017/S0143385700007410
[16] D. Salamon and E. Zehnder, Morse theory for periodic solutions of Hamiltonian systems and the Maslov index, Comm. Pure Appl. Math. 45 (1992), no. 10, 1303–1360.
Mathematical Reviews (MathSciNet): MR93g:58028
Zentralblatt MATH: 0766.58023
Digital Object Identifier: doi:10.1002/cpa.3160451004
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