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Volumn 52, Issue 1, 1999, Pages 145-171

Lagrangian two-spheres can be symplectically knotted

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EID: 0040631198     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214425219     Document Type: Article
Times cited : (95)

References (21)
  • 1
    • 0002763553 scopus 로고
    • The Floer Mem. Vol. (H. Hofer, C. Taubes, A. Weinstein, and E. Zehnder, eds.), Birkháuser, Boston, MA
    • V. I. Arnol’d, Some remarks on symplectic monodromy of Milnor fibrations, The Floer Mem. Vol. (H. Hofer, C. Taubes, A. Weinstein, and E. Zehnder, eds.), Progr. Math., Vol. 133, Birkháuser, Boston, MA, 1995, 99-104.
    • (1995) Some Remarks on Symplectic Monodromy of Milnor Fibrations , vol.133 , pp. 99-104
    • Arnol’D, V.I.1
  • 2
    • 0002240820 scopus 로고
    • Morse-Bott theory and equivariant cohomology
    • H. Hofer, C. Taubes, A. Weinstein, and E. Zehnder, eds, Birkháuser, Boston, MA
    • D. Austin & P. Braam, Morse-Bott theory and equivariant cohomology, The Floer Mem. Vol. (H. Hofer, C. Taubes, A. Weinstein, and E. Zehnder, eds.), Progr. Math., Vol. 133, Birkháuser, Boston, MA, 1995, 123-183.
    • (1995) The Floer Mem , vol.133 , pp. 123-183
    • Austin, D.1    Braam, P.2
  • 3
    • 0009886955 scopus 로고
    • Uber die Auflõsung gewisser Singularitaten von holomorphen Abbil-dungen
    • E. Brieskorn, Uber die Auflõsung gewisser Singularitaten von holomorphen Abbil-dungen, Math. Ann. 166 (1966) 76-102.
    • (1966) Math. Ann , vol.166 , pp. 76-102
    • Brieskorn, E.1
  • 4
    • 0010063535 scopus 로고    scopus 로고
    • The problem of Lagrangian knots in four-manifolds
    • Topology Conference (W. H. Kazez, ed.), Internat. Press
    • Ya. Eliashberg & L. Polterovich, The problem of Lagrangian knots in four-manifolds, Geom. Topology. Proc. 1993 Georgia Internat. Topology Conference (W. H. Kazez, ed.), Internat. Press, 1997, 313-327.
    • (1997) Geom. Topology. Proc. 1993 Georgia Internat , pp. 313-327
    • Eliashberg, Y.A.1    Polterovich, L.2
  • 5
    • 84972518037 scopus 로고
    • Morse theory for Lagrangian intersections
    • A. Floer, Morse theory for Lagrangian intersections, J. Differential Geom. 28 (1988) 513-547.
    • (1988) J. Differential Geom , vol.28 , pp. 513-547
    • Floer, A.1
  • 6
    • 84990602558 scopus 로고
    • A relative Morse index for the symplectic action
    • A. Floer, A relative Morse index for the symplectic action, Comm. Pure Appl. Math. 41 (1988) 393-407.
    • (1988) Comm. Pure Appl. Math , vol.41 , pp. 393-407
    • Floer, A.1
  • 7
    • 84972526368 scopus 로고
    • Witten’s complex and infinite dimensional Morse theory
    • A. Floer, Witten’s complex and infinite dimensional Morse theory, J. Differential Geom. 30 (1989) 207-221.
    • (1989) J. Differential Geom , vol.30 , pp. 207-221
    • Floer, A.1
  • 8
    • 84973998290 scopus 로고
    • Transversality in elliptic Morse theory for the symplectic action, Duke
    • A. Floer, H. Hofer & D. Salamon, Transversality in elliptic Morse theory for the symplectic action, Duke Math. J. 80 (1995) 251-292.
    • (1995) Math. J , vol.80 , pp. 251-292
    • Floer, A.1    Hofer, H.2    Salamon, D.3
  • 9
    • 85037897532 scopus 로고    scopus 로고
    • Some non-trivial families of symplectic structures
    • P. Kronheimer, Some non-trivial families of symplectic structures, Preprint, 1997.
    • (1997) Preprint
    • Kronheimer, P.1
  • 10
    • 85037885696 scopus 로고    scopus 로고
    • On the structure of pseudo-holomorphic discs with totally real boundary conditions
    • revised version, May
    • Y.-G. Oh, On the structure of pseudo-holomorphic discs with totally real boundary conditions, Preprint (revised version, May 1996).
    • (1996) Preprint
    • Oh, Y.-G.1
  • 11
    • 84990556188 scopus 로고
    • Floer cohomology of Lagrangian intersections and pseudo-holom, orphic discs I
    • Y.-G. Oh, Floer cohomology of Lagrangian intersections and pseudo-holom, orphic discs I, Comm. Pure Appl. Math. 46 (1993) 949-994.
    • (1993) Comm. Pure Appl. Math , vol.46 , pp. 949-994
    • Oh, Y.-G.1
  • 12
    • 1842588472 scopus 로고    scopus 로고
    • Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings
    • Notices
    • Y.-G. Oh, Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings, Internat. Math. Res. Notices (1996) 305-346.
    • (1996) Internat. Math. Res. , pp. 305-346
    • Oh, Y.-G.1
  • 13
    • 0039659555 scopus 로고
    • Surgery of Lagrange submanifolds
    • L. Polterovich, Surgery of Lagrange submanifolds, Geom. Funct. Anal. 1 (1991) 198-210.
    • (1991) Geom. Funct. Anal , vol.1 , pp. 198-210
    • Polterovich, L.1
  • 15
    • 0000155326 scopus 로고
    • The Maslov index for paths
    • J. Robbin & D. Salamon, The Maslov index for paths, Topology 32 (1993) 827-844.
    • (1993) Topology , vol.32 , pp. 827-844
    • Robbin, J.1    Salamon, D.2
  • 16
    • 84953403020 scopus 로고
    • The spectral flow and the Maslov index
    • J. Robbin & D. Salamon, The spectral flow and the Maslov index, Bull. London Math. Soc. 27 (1995) 1-33.
    • (1995) Bull. London Math. Soc , vol.27 , pp. 1-33
    • Robbin, J.1    Salamon, D.2
  • 17
    • 0003273829 scopus 로고
    • Bott-type symplectic Floer cohomology and its multiplication structures
    • Y. Ruan & G. Tian, Bott-type symplectic Floer cohomology and its multiplication structures, Math. Research Letters 2 (1995) 203-219.
    • (1995) Math. Research Letters , vol.2 , pp. 203-219
    • Ruan, Y.1    Tian, G.2
  • 18
    • 84990617874 scopus 로고
    • Morse theory for periodic solutions of Hamiltonian systems and the Maslov index
    • D. Salamon & E. Zehnder, Morse theory for periodic solutions of Hamiltonian systems and the Maslov index, Comm. Pure Appl. Math. 45 (1992) 1303-1360.
    • (1992) Comm. Pure Appl. Math , vol.45 , pp. 1303-1360
    • Salamon, D.1    Zehnder, E.2
  • 19
    • 0003487406 scopus 로고    scopus 로고
    • Floer homology and the symplectic isotopy problem
    • Oxford University
    • P. Seidel, Floer homology and the symplectic isotopy problem, Ph.D. thesis, Oxford University, 1997.
    • (1997) Ph.D. Thesis
    • Seidel, P.1
  • 21
    • 0009892476 scopus 로고
    • Intersection des sous-variétés Lagrangiennes, fonctionelles d’action et indice des systèmes Hamiltoniens
    • C. Viterbo, Intersection des sous-variétés Lagrangiennes, fonctionelles d’action et indice des systèmes Hamiltoniens, Bull. Soc. Math. France 115 (1987) 361-390.
    • (1987) Bull. Soc. Math. France , vol.115 , pp. 361-390
    • Viterbo, C.1


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