메뉴 건너뛰기




Volumn 9, Issue 5, 1999, Pages 985-1033

Functors and computations in Floer homology with applications, I

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033267246     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050106     Document Type: Article
Times cited : (314)

References (68)
  • 1
    • 0030531507 scopus 로고    scopus 로고
    • Gromov's method and Bennequin's problem
    • H. ALEXANDER, Gromov's method and Bennequin's problem, Invent. Math. 125 (1996), 135-148.
    • (1996) Invent. Math. , vol.125 , pp. 135-148
    • Alexander, H.1
  • 3
    • 84968513493 scopus 로고
    • Two dimensional area minimizing integral currents are classsical minimal surfaces
    • S. CHANG, Two dimensional area minimizing integral currents are classsical minimal surfaces. J. Amer. Math. Soc. I (1988), 699-778.
    • (1988) J. Amer. Math. Soc. , vol.1 , pp. 699-778
    • Chang, S.1
  • 4
    • 0001591483 scopus 로고    scopus 로고
    • Lagrangian intersections, symplectic energy, and areas of holomorphic curves
    • to appear
    • YU. CHEKANOV, Lagrangian intersections, symplectic energy, and areas of holomorphic curves, Duke Math. J., to appear.
    • Duke Math. J.
    • Chekanov, Y.U.1
  • 5
    • 84956073847 scopus 로고
    • Regularity of the boundaries of analytic sets
    • E. CHIRKA, Regularity of the boundaries of analytic sets, Math. U.S.S.R. Sbornik 45 (1983), 291-338.
    • (1983) Math. U.S.S.R. Sbornik , vol.45 , pp. 291-338
    • Chirka, E.1
  • 6
    • 51249167180 scopus 로고
    • Symplectic homology II: A general construction
    • K. CIELIBAK, A. FLOER, H. HOFER, Symplectic homology II: A general construction. Math. Zeitschrift 218 (1995), 103-122.
    • (1995) Math. Zeitschrift , vol.218 , pp. 103-122
    • Cielibak, K.1    Floer, A.2    Hofer, H.3
  • 8
    • 84990569659 scopus 로고
    • Morse type index theory for flows and periodic solutions for Hamiltonian equations
    • C. CONLEY, E. ZEHNDER, Morse type index theory for flows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math. 37 (1984), 207-253.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 207-253
    • Conley, C.1    Zehnder, E.2
  • 9
    • 84974002700 scopus 로고
    • Polynomial convexity rational convexity and currents
    • J. DUVAL, N. SIBONY, Polynomial convexity rational convexity and currents, Duke Math. J. 79 (1995), 487-513.
    • (1995) Duke Math. J. , vol.79 , pp. 487-513
    • Duval, J.1    Sibony, N.2
  • 10
    • 0040633530 scopus 로고    scopus 로고
    • Hulls and positive closed currents
    • to appear
    • J. DUVAL, N. SIBONY, Hulls and positive closed currents, Duke Math. J., to appear.
    • Duke Math. J.
    • Duval, J.1    Sibony, N.2
  • 11
    • 0000488538 scopus 로고
    • Symplectic topology and hamiltonian dynamics I
    • I. EKELAND, H. HOFER, Symplectic topology and Hamiltonian dynamics I, Math. Z. 200 (1989), 355-378.
    • (1989) Math. Z. , vol.200 , pp. 355-378
    • Ekeland, I.1    Hofer, H.2
  • 12
    • 51249172746 scopus 로고
    • Symplectic topology and hamiltonian dynamics II
    • I. EKELAND, H. HOFER, Symplectic topology and Hamiltonian dynamics II, Math. Zeitschrift 203 (1990), 553-567.
    • (1990) Math. Zeitschrift , vol.203 , pp. 553-567
    • Ekeland, I.1    Hofer, H.2
  • 13
    • 0002555752 scopus 로고
    • Topological characterization of Stein manifolds of dimension > 2
    • Y. ELIASHBERG, Topological characterization of Stein manifolds of dimension > 2. International Journal of Math. 1 (1990), 29-46.
    • (1990) International Journal of Math. , vol.1 , pp. 29-46
    • Eliashberg, Y.1
  • 15
    • 84990602491 scopus 로고
    • The unregularized gradient flow of the symplectic action
    • A. FLOER, The unregularized gradient flow of the symplectic action, Comm. Pure and Appl. Math. 41 (1988), 775-813.
    • (1988) Comm. Pure and Appl. Math. , vol.41 , pp. 775-813
    • Floer, A.1
  • 16
    • 84972518037 scopus 로고    scopus 로고
    • Morse theory for lagrangian intersections
    • A. FLOER, Morse theory for lagrangian intersections, Journal of Differential Geometry 28 (1998), 513-547.
    • (1998) Journal of Differential Geometry , vol.28 , pp. 513-547
    • Floer, A.1
  • 17
    • 84972526368 scopus 로고
    • Witten's complex and infinite dimensional Morse theory
    • A. FLOER, Witten's complex and Infinite dimensional Morse theory, J. Differential Geometry 30 (1988), 207-221.
    • (1988) J. Differential Geometry , vol.30 , pp. 207-221
    • Floer, A.1
  • 19
    • 0002280254 scopus 로고
    • The proof of Weinstein conjecture in P × ℂ
    • A. FLOER, H. HOFER, C. VITERBO, The proof of Weinstein conjecture in P × ℂ, Math. Zeitschrift 203 (1989), 355-378.
    • (1989) Math. Zeitschrift , vol.203 , pp. 355-378
    • Floer, A.1    Hofer, H.2    Viterbo, C.3
  • 20
    • 0001486167 scopus 로고
    • Morse-Smale flows and homotopy theory
    • J. FRANKS, Morse-Smale flows and homotopy theory, Topology 18 (1979), 199-215.
    • (1979) Topology , vol.18 , pp. 199-215
    • Franks, J.1
  • 22
    • 84960599554 scopus 로고
    • 2n, 2n - 1 ≥ 7, whose Hamiltonian flow has no periodic trajectories
    • 2n, 2n - 1 ≥ 7, whose Hamiltonian flow has no periodic trajectories, Int. Math. Res. Not. 2 (1995), 397-409.
    • (1995) Int. Math. Res. Not. , vol.2 , pp. 397-409
    • Ginzburg, V.L.1
  • 23
    • 0030294612 scopus 로고    scopus 로고
    • On the existence and non-existence of closed trajectories for some Hamiltonian flow
    • V. L. GINZBURG, On the existence and non-existence of closed trajectories for some Hamiltonian flow, Math. Z. 223 (1996), 397-409.
    • (1996) Math. Z. , vol.223 , pp. 397-409
    • Ginzburg, V.L.1
  • 24
    • 4043150711 scopus 로고
    • Cyclic homology, derivations and the free loop space
    • T. GOODWILLIE, Cyclic homology, derivations and the free loop space, Topology 24 (1985), 187-215.
    • (1985) Topology , vol.24 , pp. 187-215
    • Goodwillie, T.1
  • 25
    • 0040804374 scopus 로고
    • Pseudo holomorphic curves in symplectic manifolds
    • M. GROMOV, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307-347.
    • (1985) Invent. Math. , vol.82 , pp. 307-347
    • Gromov, M.1
  • 27
    • 0040845768 scopus 로고    scopus 로고
    • Thèse d'Université, Université de Paris-Sud, Orsay
    • D. HERMANN, Thèse d'Université, Université de Paris-Sud, Orsay, 1998.
    • (1998)
    • Hermann, D.1
  • 28
    • 0039067450 scopus 로고    scopus 로고
    • Holomorphic curves and hamiltonian systems in an open set with restricted contact type boundary
    • submitted to
    • D. HERMANN Holomorphic curves and hamiltonian systems in an open set with restricted contact type boundary, submitted to Duke Math. Journal, 1998.
    • (1998) Duke Math. Journal
    • Hermann, D.1
  • 29
    • 0040251289 scopus 로고    scopus 로고
    • Communication personnelle
    • M. HERMANN, Communication personnelle, 1996.
    • (1996)
    • Hermann, M.1
  • 30
    • 0001536202 scopus 로고
    • Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
    • H. HOFER Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Inventiones Math. 114 (1993), 515-563.
    • (1993) Inventiones Math. , vol.114 , pp. 515-563
    • Hofer, H.1
  • 31
    • 0000681368 scopus 로고
    • Floer homology and Novikov rings
    • (H. Hofer, et al., eds.), Birkhäuser
    • H. HOFER, D. SALAMON, Floer homology and Novikov rings, in "Floer Memorial Volume" (H. Hofer, et al., eds.), Birkhäuser, (1995).
    • (1995) Floer Memorial Volume
    • Hofer, H.1    Salamon, D.2
  • 34
    • 84990569581 scopus 로고
    • The weinstein conjecture for compact manifolds and applications
    • H. HOFER, C. VITERBO, The Weinstein conjecture for compact manifolds and applications, Communications in Pure and Applied Maths 45 (1992), 583-622.
    • (1992) Communications in Pure and Applied Maths , vol.45 , pp. 583-622
    • Hofer, H.1    Viterbo, C.2
  • 35
    • 0002314666 scopus 로고
    • Periodic solutions on hypersurfaces and a result by C
    • H. HOFER, E. ZEHNDER, Periodic Solutions on Hypersurfaces and a Result by C. Viterbo Inventiones Math. 90 (1987), 1-9.
    • (1987) Viterbo Inventiones Math. , vol.90 , pp. 1-9
    • Hofer, H.1    Zehnder, E.2
  • 36
    • 51249177203 scopus 로고
    • Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents
    • F. LALONDE, J.C. SIKORAV, Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents, Comment. Math. Helvetici 66 (1991), 18-33.
    • (1991) Comment. Math. Helvetici , vol.66 , pp. 18-33
    • Lalonde, F.1    Sikorav, J.C.2
  • 37
    • 51249169441 scopus 로고
    • Engouffrement symplectique et intersections lagrangiennes
    • F. LAUDENBACH, Engouffrement symplectique et intersections lagrangiennes, Comment. Math. Helv. 70 (1995), 558-614.
    • (1995) Comment. Math. Helv. , vol.70 , pp. 558-614
    • Laudenbach, F.1
  • 40
    • 0040251286 scopus 로고
    • Symplectic capacity and the Weinstein conjecture in certain cotangent bundles and stein manifolds
    • R. MA, Symplectic capacity and the Weinstein conjecture in certain cotangent bundles and Stein manifolds, Nonlinear Differ. Equ. Appl. 2 (1995), 341-356.
    • (1995) Nonlinear Differ. Equ. Appl. , vol.2 , pp. 341-356
    • Ma, R.1
  • 42
    • 0001071555 scopus 로고
    • Symplectic manifolds with contact type boundary
    • D. MCDUFF, Symplectic manifolds with contact type boundary, Inventiones Math. 13 (1991), 651-671.
    • (1991) Inventiones Math. , vol.13 , pp. 651-671
    • McDuff, D.1
  • 45
    • 0000863870 scopus 로고
    • On the Arnold conjecture for weakly monotone symplectic manifolds
    • K. ONO, On the Arnold conjecture for weakly monotone symplectic manifolds, Inventiones Math. 119 (1995), 519-537.
    • (1995) Inventiones Math. , vol.119 , pp. 519-537
    • Ono, K.1
  • 48
    • 0001383404 scopus 로고
    • Symplectic Floer-Donaldson theory and quantum cohomology
    • Cambridge, Publ. Newton Inst. 8, Cambridge Univ. Press, Cambridge
    • S. PIUNIKHIN, D. SALAMON, M. SCHWARZ, Symplectic Floer-Donaldson theory and quantum cohomology, Contact and Symplectic Geometry (Cambridge, 1994), 171-200, Publ. Newton Inst. 8, Cambridge Univ. Press, Cambridge (1996).
    • (1994) Contact and Symplectic Geometry , pp. 171-200
    • Piunikhin, S.1    Salamon, D.2    Schwarz, M.3
  • 49
    • 0039659555 scopus 로고
    • The surgery of Lagrange submanifolds
    • L. POLTEROVICH, The surgery of Lagrange submanifolds, GAFA 1 (1991), 198-210.
    • (1991) GAFA , vol.1 , pp. 198-210
    • Polterovich, L.1
  • 50
    • 0029682448 scopus 로고
    • A mathematical theory of quantum cohomology
    • Y.B. RUAN, G. TIAN, A mathematical theory of quantum cohomology, J. Differ. Geom. 42 (1995), 259-367.
    • (1995) J. Differ. Geom. , vol.42 , pp. 259-367
    • Ruan, Y.B.1    Tian, G.2
  • 51
    • 84990617874 scopus 로고
    • Morse theory for periodic solutions of of Hamiltonian systems and the Maslov index
    • D. SALAMON, E. ZEHNDER, Morse theory for periodic solutions of of Hamiltonian systems and the Maslov index, Comm. Pure and Appl. Math. 45 (1992), 1303-1360.
    • (1992) Comm. Pure and Appl. Math. , vol.45 , pp. 1303-1360
    • Salamon, D.1    Zehnder, E.2
  • 52
    • 0039659556 scopus 로고    scopus 로고
    • PhD dissertation, ETH-Zürich, GH-8092, Zürich, Switzerland
    • M. SCHWARZ, PhD dissertation, 1996, ETH-Zürich, GH-8092, Zürich, Switzerland.
    • (1996)
    • Schwarz, M.1
  • 53
    • 84972553754 scopus 로고
    • Quelques problemes de prolongement de courants en analyse complexe
    • N. SIBONY, Quelques problemes de prolongement de courants en analyse complexe, Duke Math. Journal. 52 (1985), 157-197.
    • (1985) Duke Math. Journal. , vol.52 , pp. 157-197
    • Sibony, N.1
  • 55
    • 51249171932 scopus 로고
    • Existence of periodic solutions of hamiltonian systems on almost every energy surface
    • M. STRUWE, Existence of periodic solutions of Hamiltonian systems on almost every energy surface, Bol. Soc. Bras. Mat. 20 (1990), 49-58.
    • (1990) Bol. Soc. Bras. Mat. , vol.20 , pp. 49-58
    • Struwe, M.1
  • 56
    • 0002106783 scopus 로고    scopus 로고
    • Exact Lagrange submanifolds, periodic orbits and the cohomology of free loops spaces
    • C. VITERBO, Exact Lagrange submanifolds, periodic orbits and the cohomology of free loops spaces, J. of Differential Geometry 47 (1997), 420-468.
    • (1997) J. of Differential Geometry , vol.47 , pp. 420-468
    • Viterbo, C.1
  • 57
    • 0009221812 scopus 로고    scopus 로고
    • Some remarks on Massey products, tied cohomology classes and Lusternik-Shnirelman category
    • C. VITERBO, Some remarks on Massey products, tied cohomology classes and Lusternik-Shnirelman category, Duke Math. Journal 86 (1997), 547-564.
    • (1997) Duke Math. Journal , vol.86 , pp. 547-564
    • Viterbo, C.1
  • 59
    • 0001776080 scopus 로고
    • A new obstruction to embedding Lagrangian tori
    • C. VITERBO, A new obstruction to embedding Lagrangian tori, Invent. Math. 100 (1990), 301-320.
    • (1990) Invent. Math. , vol.100 , pp. 301-320
    • Viterbo, C.1
  • 61
    • 0038960893 scopus 로고
    • Une infinité de tores lagrangiens distincts ayant mêmes "invariants classiques"
    • C. VITERBO, Une infinité de tores lagrangiens distincts ayant mêmes "invariants classiques", Comptes Rendus Acad. Sci. Paris, Série I 311 (1990), 727-729.
    • (1990) Comptes Rendus Acad. Sci. Paris, Série I , vol.311 , pp. 727-729
    • Viterbo, C.1
  • 62
    • 0039067453 scopus 로고
    • Symplectic topology as the geometry of generating functions
    • C. VITERBO, Symplectic topology as the geometry of generating functions Math. Annalen 692 (1992), 537-547.
    • (1992) Math. Annalen , vol.692 , pp. 537-547
    • Viterbo, C.1
  • 63
    • 0002390559 scopus 로고
    • The cup-product on the Thom-Smale-Witten complex, and Floer cohomology
    • (H. Hofer, C. Taubes, A. Weinstein, E. Zehnder, eds.), Birkhäuser Verlag
    • C. VITERBO, The cup-product on the Thom-Smale-Witten complex, and Floer cohomology, in "Andreas Floer memorial volume" (H. Hofer, C. Taubes, A. Weinstein, E. Zehnder, eds.), Birkhäuser Verlag (1995), 609-625.
    • (1995) Andreas Floer Memorial Volume , pp. 609-625
    • Viterbo, C.1
  • 66
    • 0013297146 scopus 로고
    • Generating functions, symplectic geometry and applications
    • Zürich, 94 Birkhäuser Verlag, Basel
    • C. VITERBO, Generating functions, symplectic geometry and applications, Proceedings of the ICM, vol. 1, Zürich, 94 Birkhäuser Verlag, Basel (1995), 537-547.
    • (1995) Proceedings of the ICM , vol.1 , pp. 537-547
    • Viterbo, C.1
  • 68
    • 84972500802 scopus 로고
    • Supersymmetry and Morse theory
    • E. WITTEN, Supersymmetry and Morse theory J. of Differential Geometry 17 (1982), 661-692.
    • (1982) J. of Differential Geometry , vol.17 , pp. 661-692
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.