메뉴 건너뛰기




Volumn 193, Issue 2, 2000, Pages 419-461

On the action spectrum for closed symplectically aspherical manifolds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000818849     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2000.193.419     Document Type: Article
Times cited : (264)

References (23)
  • 1
    • 84974003706 scopus 로고
    • Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms
    • M. Bialy and L. Polterovich, Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms, Duke Math. Journal, 76(1) (1994), 273-292.
    • (1994) Duke Math. Journal , vol.76 , Issue.1 , pp. 273-292
    • Bialy, M.1    Polterovich, L.2
  • 2
    • 0000781004 scopus 로고
    • Symplectic fixed points and holomorphic spheres
    • A. Floer, Symplectic fixed points and holomorphic spheres, Comm Math Phys., 120 (1989), 575-611.
    • (1989) Comm Math Phys. , vol.120 , pp. 575-611
    • Floer, A.1
  • 3
    • 51249165991 scopus 로고
    • Coherent orientations for periodic orbit problems in symplectic geometry
    • A. Floer and H. Hofer, Coherent orientations for periodic orbit problems in symplectic geometry, Math. Zeit., 212 (1993), 13-38.
    • (1993) Math. Zeit. , vol.212 , pp. 13-38
    • Floer, A.1    Hofer, H.2
  • 4
    • 51249168842 scopus 로고
    • n
    • n, Math. Zeit., 215 (1994), 37-88.
    • (1994) Math. Zeit. , vol.215 , pp. 37-88
  • 5
    • 51249167189 scopus 로고
    • Applications of symplectic homology I
    • A. Floer, H. Hofer, and K. Wysocki, Applications of symplectic homology I, Math. Zeit., 217 (1994), 577-606.
    • (1994) Math. Zeit. , vol.217 , pp. 577-606
    • Floer, A.1    Hofer, H.2    Wysocki, K.3
  • 7
    • 0009995876 scopus 로고
    • A new capacity for symplectic manifolds
    • P. Rabinowitz and E. Zehnder, eds., Academic Press
    • H. Hofer and E. Zehnder, A new capacity for symplectic manifolds, Analysis et cetera (P. Rabinowitz and E. Zehnder, eds.), Academic Press, (1990), 405-428.
    • (1990) Analysis et Cetera , pp. 405-428
    • Hofer, H.1    Zehnder, E.2
  • 8
    • 0003835167 scopus 로고
    • Symplectic invariants and Hamiltonian dynamics
    • Birkhäuser
    • _, Symplectic invariants and Hamiltonian dynamics, Birkhäuser advanced texts, Birkhäuser, 1994.
    • (1994) Birkhäuser Advanced Texts
  • 9
    • 85037781892 scopus 로고    scopus 로고
    • J. Kollar, private communication
    • J. Kollar, private communication.
  • 10
    • 0001065098 scopus 로고
    • The geometry of symplectic energy
    • F. Lalonde and D. McDuff, The geometry of symplectic energy, Ann. of Math., 141 (1995), 349-371.
    • (1995) Ann. of Math. , vol.141 , pp. 349-371
    • Lalonde, F.1    McDuff, D.2
  • 11
    • 34249753620 scopus 로고
    • ∞-geometry: Energy and stability of Hamiltonian flows, I, II
    • ∞-geometry: Energy and stability of Hamiltonian flows, I, II, Invent. Math., 122(1) (1995), 1-33, 35-69.
    • (1995) Invent. Math. , vol.122 , Issue.1 , pp. 1-33
  • 12
    • 0031142390 scopus 로고    scopus 로고
    • Symplectic diffeomorphisms as isometries of Hofer's norm
    • F. Lalonde and L. Polterovich, Symplectic diffeomorphisms as isometries of Hofer's norm, Topology, 36(3) (1997), 711-727.
    • (1997) Topology , vol.36 , Issue.3 , pp. 711-727
    • Lalonde, F.1    Polterovich, L.2
  • 13
    • 1842563778 scopus 로고    scopus 로고
    • Cup-length estimate for symplectic fixed points
    • Cambridge, 1994 (C.B. Thomas, ed.), Publ. Newton Inst., Cambridge University Press
    • H.V. Le and K. Ono, Cup-length estimate for symplectic fixed points, Contact and Symplectic Geometry (Cambridge, 1994) (C.B. Thomas, ed.), Publ. Newton Inst., Vol. 8, Cambridge University Press, 1996.
    • Contact and Symplectic Geometry , vol.8 , pp. 1996
    • Le, H.V.1    Ono, K.2
  • 14
    • 0031184688 scopus 로고    scopus 로고
    • Symplectic topology as geometry of action functional, I
    • Y.-G. Oh, Symplectic topology as geometry of action functional, I, J. Diff. Geom., 46 (1997), 499-577.
    • (1997) J. Diff. Geom. , vol.46 , pp. 499-577
    • Oh, Y.-G.1
  • 15
    • 0009615082 scopus 로고    scopus 로고
    • Symplectic topology as geometry of action functional, II
    • _, Symplectic topology as geometry of action functional, II, Comm. Anal. Geom., 7 (1999), 1-54.
    • (1999) Comm. Anal. Geom. , vol.7 , pp. 1-54
  • 16
    • 0001383404 scopus 로고    scopus 로고
    • Symplectic Floer-Donaldson theory and quantum cohomology
    • (Cambridge 1994) (C.B. Thomas, ed.), Publ. Newton Inst., Cambridge University Press
    • S. Piunikhin, D. Salamon, and M. Schwarz, Symplectic Floer-Donaldson theory and quantum cohomology, Contact and Symplectic Geometry (Cambridge 1994) (C.B. Thomas, ed.), Publ. Newton Inst., Vol. 8, Cambridge University Press, (1996), 171-200.
    • (1996) Contact and Symplectic Geometry , vol.8 , pp. 171-200
    • Piunikhin, S.1    Salamon, D.2    Schwarz, M.3
  • 17
    • 84990617874 scopus 로고
    • Morse theory for periodic solutions of Hamiltoman systems and the Maslov index
    • D. Salamon and E. Zehnder, Morse theory for periodic solutions of Hamiltoman 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
    • 0003286968 scopus 로고
    • Morse homology
    • Birkhäuser, Basel
    • _, Morse homology, Progress in Mathematics, Vol. 111, Birkhäuser, Basel, 1993.
    • (1993) Progress in Mathematics , vol.111
  • 20
    • 0010724235 scopus 로고
    • Ph.D. thesis, Swiss Federal Inst. of Techn. Zurich, Diss. ETH No. 11182
    • 1-cobordisms in Floer homology, Ph.D. thesis, Swiss Federal Inst. of Techn. Zurich, Diss. ETH No. 11182, 1995.
    • (1995) 1-cobordisms in Floer Homology
  • 21
    • 0032373318 scopus 로고    scopus 로고
    • A quantum cup-length estimate for symplectic fixed points
    • _, A quantum cup-length estimate for symplectic fixed points, Invent. Math., 133 (1998), 353-397.
    • (1998) Invent. Math. , vol.133 , pp. 353-397
  • 22
    • 0031283630 scopus 로고    scopus 로고
    • 1 of symplectic automorphism groups and invertibles in quantum homology rings
    • 1 of symplectic automorphism groups and invertibles in quantum homology rings, Geom. Funct. Anal., 7 (1997), 1046-1095.
    • (1997) Geom. Funct. Anal. , vol.7 , pp. 1046-1095
    • Seidel, P.1
  • 23
    • 0001597941 scopus 로고
    • Symplectic topology as the geometry of generating functions
    • C. Viterbo, Symplectic topology as the geometry of generating functions, Math. Ann., 292(4) (1992), 685-710.
    • (1992) Math. Ann. , vol.292 , Issue.4 , pp. 685-710
    • Viterbo, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.