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Volumn 148, Issue 3, 2002, Pages 609-626

Tight contact structures with no symplectic fillings

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EID: 0036016762     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220100204     Document Type: Article
Times cited : (63)

References (35)
  • 2
    • 0002519851 scopus 로고
    • Entrelacements et équations de Pfaff
    • D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107-108 (1983), 87-161
    • (1983) Astérisque , vol.107-108 , pp. 87-161
    • Bennequin, D.1
  • 3
    • 0031094043 scopus 로고    scopus 로고
    • Chirurgies d'indice un et isotopies de spheres dans les variétés de contact tendues
    • V. Colin, Chirurgies d'indice un et isotopies de spheres dans les variétés de contact tendues, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), 659-663
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , pp. 659-663
    • Colin, V.1
  • 4
    • 0003180224 scopus 로고    scopus 로고
    • Recollement de variétés de contact tendues
    • V. Colin, Recollement de variétés de contact tendues, Bull. Soc. Math. France 127 (1999), 43-69
    • (1999) Bull. Soc. Math. France , vol.127 , pp. 43-69
    • Colin, V.1
  • 5
    • 0035643111 scopus 로고    scopus 로고
    • Chirurgies de Dehn admissibles dans les variétés de contact tendues
    • V. Colin, Chirurgies de Dehn admissibles dans les variétés de contact tendues, Ann. Inst. Fourier (Grenoble) 51 (2001), 1001-1017
    • (2001) Ann. Inst. Fourier (Grenoble) , vol.51 , pp. 1001-1017
    • Colin, V.1
  • 6
    • 0001010678 scopus 로고    scopus 로고
    • Symplectic fillability of tight contact structures on torus bundles
    • F. Ding, H. Geiges, Symplectic fillability of tight contact structures on torus bundles, Algebr. Geom. Topol. 1 (2001), 153-172
    • (2001) Algebr. Geom. Topol. , vol.1 , pp. 153-172
    • Ding, F.1    Geiges, H.2
  • 7
    • 0001637822 scopus 로고
    • Classification of overtwisted contact structures on 3-manifolds
    • Y. Eliashberg, Classification of overtwisted contact structures on 3-manifolds, Invent. math. 98 (1989), 623-637
    • (1989) Invent. Math. , vol.98 , pp. 623-637
    • Eliashberg, Y.1
  • 8
    • 0002555752 scopus 로고
    • Topological characterization of Stein manifolds of dimension > 2
    • Y. Eliashberg, Topological characterization of Stein manifolds of dimension > 2, Internat. J. Math. 1 (1990), 29-46
    • (1990) Internat. J. Math. , vol.1 , pp. 29-46
    • Eliashberg, Y.1
  • 9
    • 0003115272 scopus 로고
    • Filling by holomorphic discs and its applications
    • Donaldson, Thomas eds., Cambridge Univ. Press, Cambridge
    • Y. Eliashberg, Filling by holomorphic discs and its applications, Geometry of Low-Dimensional Manifolds, Vol. II (Donaldson, Thomas eds.), Cambridge Univ. Press, Cambridge, 1990
    • (1990) Geometry of Low-Dimensional Manifolds , vol.2
    • Eliashberg, Y.1
  • 10
    • 0000102087 scopus 로고
    • Contact 3-manifolds twenty years since J. Martinet's work
    • Y. Eliashberg, Contact 3-manifolds twenty years since J. Martinet's work, Ann. Inst. Fourier (Grenoble) 42 (1992), 165-192
    • (1992) Ann. Inst. Fourier (Grenoble) , vol.42 , pp. 165-192
    • Eliashberg, Y.1
  • 11
    • 0002757664 scopus 로고    scopus 로고
    • Unique holomorphically tillable contact structure on the 3-torus
    • Y. Eliashberg, Unique holomorphically tillable contact structure on the 3-torus, Internat. Math. Res. Notices 1996, 77-82
    • (1996) Internat. Math. Res. Notices , pp. 77-82
    • Eliashberg, Y.1
  • 12
    • 0003180729 scopus 로고    scopus 로고
    • Classification of topologically trivial Legendrian knots, geometry, topology, and dynamics
    • Montreal, PQ, 1995, Amer. Math. Soc., Providence, RI
    • Y. Eliashberg, M. Fraser, Classification of topologically trivial Legendrian knots, Geometry, Topology, and Dynamics (Montreal, PQ, 1995), 17-51, CRM Proc. Lecture Notes 15, Amer. Math. Soc., Providence, RI, 1998
    • (1998) CRM Proc. Lecture Notes , vol.15 , pp. 17-51
    • Eliashberg, Y.1    Fraser, M.2
  • 14
    • 0001981652 scopus 로고    scopus 로고
    • Symplectic convexity in low-dimensional topology
    • J. Etnyre, Symplectic convexity in low-dimensional topology, Topology Appl. 88 (1998), 3-25
    • (1998) Topology Appl. , vol.88 , pp. 3-25
    • Etnyre, J.1
  • 15
    • 23044522586 scopus 로고    scopus 로고
    • Tight contact structures on lens spaces
    • J. Etnyre, Tight contact structures on lens spaces, Commun. Contemp. Math. 2 (2000), 559-577
    • (2000) Commun. Contemp. Math. , vol.2 , pp. 559-577
    • Etnyre, J.1
  • 16
    • 0035532961 scopus 로고    scopus 로고
    • On the nonexistence of tight contact structures
    • J. Etnyre, K. Honda, On the nonexistence of tight contact structures, Ann. of Math. (2) 153 (2001), 749-766
    • (2001) Ann. of Math. (2) , vol.153 , pp. 749-766
    • Etnyre, J.1    Honda, K.2
  • 17
    • 51249171465 scopus 로고
    • Convexité en topologie de contact
    • E. Giroux, Convexité en topologie de contact, Comment. Math. Helv. 66 (1991), 637-677
    • (1991) Comment. Math. Helv. , vol.66 , pp. 637-677
    • Giroux, E.1
  • 18
    • 0034413080 scopus 로고    scopus 로고
    • Structures de contact en dimension trois et bifurcations des feuilletages de surfaces
    • E. Giroux, Structures de contact en dimension trois et bifurcations des feuilletages de surfaces, Invent. math. 141 (2000), 615-689
    • (2000) Invent. Math. , vol.141 , pp. 615-689
    • Giroux, E.1
  • 19
    • 0032281851 scopus 로고    scopus 로고
    • Handlebody construction of Stein surfaces
    • R. Gompf, Handlebody construction of Stein surfaces, Ann. of Math. (2) 148 (1998), 619-693
    • (1998) Ann. of Math. (2) , vol.148 , pp. 619-693
    • Gompf, R.1
  • 20
    • 0003354937 scopus 로고    scopus 로고
    • 4-manifolds and Kirby calculus
    • Amer. Math. Soc., Providence, RI
    • R. Gompf, A. Stipsicz, 4-Manifolds and Kirby Calculus, Graduate Studies in Mathematics 20, Amer. Math. Soc., Providence, RI, 1999
    • (1999) Graduate Studies in Mathematics , vol.20
    • Gompf, R.1    Stipsicz, A.2
  • 21
    • 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
  • 23
    • 0000122605 scopus 로고    scopus 로고
    • On the classification of tight contact structures I
    • K. Honda, On the classification of tight contact structures I, Geom. Topol. 4 (2000), 309-368
    • (2000) Geom. Topol. , vol.4 , pp. 309-368
    • Honda, K.1
  • 24
    • 0002855337 scopus 로고    scopus 로고
    • On the classification of tight contact structures II
    • K. Honda, On the classification of tight contact structures II, J. Differential Geom. 55 (2000), 83-143
    • (2000) J. Differential Geom. , vol.55 , pp. 83-143
    • Honda, K.1
  • 25
    • 0036922077 scopus 로고    scopus 로고
    • Gluing tight contact structures
    • K. Honda, Gluing tight contact structures, to appear in Duke Math. J.
    • Duke Math. J.
    • Honda, K.1
  • 26
    • 33646383693 scopus 로고    scopus 로고
    • 2 × I layers
    • Erratum to [23] (temporary)
    • 2 × I layers (Erratum to [23]), Geom. Topol. 5 (2001), 1501-1514 (temporary)
    • (2001) Geom. Topol. , vol.5 , pp. 1501-1514
    • Honda, K.1
  • 27
    • 0000422263 scopus 로고    scopus 로고
    • The classification of tight contact structures on the 3-torus
    • Y. Kanda, The classification of tight contact structures on the 3-torus, Comm. Anal. Geom. 5 (1997), 413-438
    • (1997) Comm. Anal. Geom. , vol.5 , pp. 413-438
    • Kanda, Y.1
  • 28
    • 0032372845 scopus 로고    scopus 로고
    • On the Thurston-Bennequin invariant of Legendrian knots and non exactness of Bennequin's inequality
    • Y. Kanda, On the Thurston-Bennequin invariant of Legendrian knots and non exactness of Bennequin's inequality, Invent. math. 133 (1998), 227-242
    • (1998) Invent. Math. , vol.133 , pp. 227-242
    • Kanda, Y.1
  • 29
    • 0031502381 scopus 로고    scopus 로고
    • Monopoles and contact structures
    • P. Kronheimer, T. Mrowka, Monopoles and contact structures, Invent. math. 130 (1997), 209-255
    • (1997) Invent. Math. , vol.130 , pp. 209-255
    • Kronheimer, P.1    Mrowka, T.2
  • 30
    • 0000876858 scopus 로고    scopus 로고
    • Symplectic fillings and positive scalar curvature
    • P. Lisca, Symplectic fillings and positive scalar curvature, Geom. Topol. 2 (1998), 103-116
    • (1998) Geom. Topol. , vol.2 , pp. 103-116
    • Lisca, P.1
  • 31
    • 0013120996 scopus 로고    scopus 로고
    • On symplectic fillings of 3-manifolds
    • Proceedings of 6th Gökova Geometry-Topology Conference
    • P. Lisca, On symplectic fillings of 3-manifolds, Proceedings of 6th Gökova Geometry-Topology Conference, Turkish J. Math. 23 (1999), 151-159
    • (1999) Turkish J. Math. , vol.23 , pp. 151-159
    • Lisca, P.1
  • 34
    • 0001645811 scopus 로고    scopus 로고
    • Simple singularities and topology of symplectically filling 4-manifold
    • H. Ohta, K. Oho, Simple singularities and topology of symplectically filling 4-manifold, Comment. Math. Helv. 74 (1999), 575-590
    • (1999) Comment. Math. Helv. , vol.74 , pp. 575-590
    • Ohta, H.1    Oho, K.2
  • 35
    • 84972562838 scopus 로고
    • Contact surgery and symplectic handlebodies
    • A. Weinstein, Contact surgery and symplectic handlebodies, Hokkaido Math. J. 20 (1991), 241-251
    • (1991) Hokkaido Math. J. , vol.20 , pp. 241-251
    • Weinstein, A.1


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