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Volumn 165, Issue 2, 2007, Pages 457-546

Monopoles and lens space surgeries

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[No Author keywords available]

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EID: 34247490022     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2007.165.457     Document Type: Article
Times cited : (227)

References (43)
  • 1
    • 0141759058 scopus 로고    scopus 로고
    • Some knots with surgeries giving lens spaces
    • unpublished manuscript
    • J. O. BERGE, Some knots with surgeries giving lens spaces, unpublished manuscript.
    • BERGE, J.O.1
  • 3
    • 0030187564 scopus 로고    scopus 로고
    • Spherical space forms and Dehn filling
    • S. A. BLEILER and C. D. HODGSON, Spherical space forms and Dehn filling, Topology 35 (1996), 809-833.
    • (1996) Topology , vol.35 , pp. 809-833
    • BLEILER, S.A.1    HODGSON, C.D.2
  • 5
    • 85039206078 scopus 로고    scopus 로고
    • P. BRAAM and S. K. DONALDSON, Floer's work on instanton homology, knots, and surgery, in The Floer Memorial H. Hofer, C. H. Taubes, A. Weinstein, and E. Zehnder, eds., Progr. in Math. 133, 195-256, Birkhäuser, Basel, 1995.
    • P. BRAAM and S. K. DONALDSON, Floer's work on instanton homology, knots, and surgery, in The Floer Memorial Volume (H. Hofer, C. H. Taubes, A. Weinstein, and E. Zehnder, eds.), Progr. in Math. 133, 195-256, Birkhäuser, Basel, 1995.
  • 6
    • 0038270857 scopus 로고    scopus 로고
    • Laminations and groups of homeomorphisms of the circle
    • D. CALEGARI and N. M. DUNFIELD, Laminations and groups of homeomorphisms of the circle, Invent. Math. 152 (2003), 149-204.
    • (2003) Invent. Math , vol.152 , pp. 149-204
    • CALEGARI, D.1    DUNFIELD, N.M.2
  • 10
    • 0002205903 scopus 로고
    • Constructing lens spaces by surgery on knots
    • R. FINTUSHEL and R. J. STERN, Constructing lens spaces by surgery on knots, Math. Z. 175 (1980), 33-51.
    • (1980) Math. Z , vol.175 , pp. 33-51
    • FINTUSHEL, R.1    STERN, R.J.2
  • 11
    • 1542555328 scopus 로고
    • An instanton-invariant for 3-manifolds
    • A. FLOER, An instanton-invariant for 3-manifolds, Comm. Math. Phys. 118 (1988), 215-240.
    • (1988) Comm. Math. Phys , vol.118 , pp. 215-240
    • FLOER, A.1
  • 12
    • 85039215699 scopus 로고    scopus 로고
    • _, Instanton homology and Dehn surgery, in The Floer Memorial H. Hofer, C. H. Taubes, A. Weinstein, and E. Zehnder, eds., Prog, in Math. 133, 77-97, Birkhäuser, Basel, 1995.
    • _, Instanton homology and Dehn surgery, in The Floer Memorial Volume (H. Hofer, C. H. Taubes, A. Weinstein, and E. Zehnder, eds.), Prog, in Math. 133, 77-97, Birkhäuser, Basel, 1995.
  • 13
    • 0030516475 scopus 로고    scopus 로고
    • K. A. FRØYSHOV, The Seiberg-Witten equations and four-manifolds with boundary, Math. Res. Lett. 3 (1996), 373-390.
    • K. A. FRØYSHOV, The Seiberg-Witten equations and four-manifolds with boundary, Math. Res. Lett. 3 (1996), 373-390.
  • 14
    • 84972545906 scopus 로고
    • Foliations and the topology of 3-manifolds
    • D. GABAI, Foliations and the topology of 3-manifolds, J. Differential Geom. 18 (1983), 445-503.
    • (1983) J. Differential Geom , vol.18 , pp. 445-503
    • GABAI, D.1
  • 15
    • 84972535743 scopus 로고
    • Foliations and the topology of 3-manifolds III
    • _, Foliations and the topology of 3-manifolds III, J. Differential Geom. 26 (1987), 479-536.
    • (1987) J. Differential Geom , vol.26 , pp. 479-536
    • GABAI, D.1
  • 16
    • 38249025622 scopus 로고
    • Surgery on knots in solid tori
    • _, Surgery on knots in solid tori, Topology 28 (1989), 1-6.
    • (1989) Topology , vol.28 , pp. 1-6
    • GABAI, D.1
  • 17
    • 23044524254 scopus 로고    scopus 로고
    • Dehn surgeries on knots which yield lens spaces and genera of knots
    • H. GODA and M. TERAGAITO, Dehn surgeries on knots which yield lens spaces and genera of knots, Math. Proc. Cambridge Philos. Soc. 129 (2000), 501-515.
    • (2000) Math. Proc. Cambridge Philos. Soc , vol.129 , pp. 501-515
    • GODA, H.1    TERAGAITO, M.2
  • 18
    • 0002796470 scopus 로고
    • Some aspects of classical knot theory
    • Springer-Verlag, New York
    • C. MCA. GORDON, Some aspects of classical knot theory, Lecture Notes in Math. 685, 1-60, Springer-Verlag, New York, 1978.
    • (1978) Lecture Notes in Math , vol.685 , pp. 1-60
    • MCA, C.1    GORDON2
  • 19
    • 0001193524 scopus 로고
    • GORDON, Dehn surgery on knots
    • Kyoto, Math. Soc. Japan, Tokyo
    • C. MCA. GORDON, Dehn surgery on knots, in Proc. Internat. Congress of Mathematicians Vol. I (Kyoto, 1990), 631-642, Math. Soc. Japan, Tokyo, 1991.
    • (1990) Proc. Internat. Congress of Mathematicians , vol.1 , pp. 631-642
    • MCA, C.1
  • 20
    • 84968464903 scopus 로고    scopus 로고
    • C. MCA. GORDON and J. LUECKE, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989), 371-415.
    • C. MCA. GORDON and J. LUECKE, Knots are determined by their complements, J. Amer. Math. Soc. 2 (1989), 371-415.
  • 21
    • 84968491346 scopus 로고    scopus 로고
    • _, Knots are determined by their complements, Bull. Amer. Math. Soc. 20 (1989), 83-87.
    • _, Knots are determined by their complements, Bull. Amer. Math. Soc. 20 (1989), 83-87.
  • 22
    • 7544248196 scopus 로고    scopus 로고
    • J. JUN, (-2, 3, 7)-pretzel knot and Reebless foliation, Topology Appl. 145 (2004), 209-232.
    • J. JUN, (-2, 3, 7)-pretzel knot and Reebless foliation, Topology Appl. 145 (2004), 209-232.
  • 23
    • 41849150122 scopus 로고    scopus 로고
    • Monopoles and three-manifolds
    • in preparation
    • P. B. KRONHEIMER and T. S. MROWKA, Monopoles and three-manifolds, in preparation.
    • KRONHEIMER, P.B.1    MROWKA, T.S.2
  • 24
    • 0000386310 scopus 로고    scopus 로고
    • _, Gauge theory for embedded surfaces. I, Topology 32 (1993), 773-826.
    • _, Gauge theory for embedded surfaces. I, Topology 32 (1993), 773-826.
  • 28
    • 0347108812 scopus 로고    scopus 로고
    • Seiberg-Witten monopoles on Seifert fibered spaces
    • T. S. MROWKA, P. S. OZSVÁTH, and B. Yu, Seiberg-Witten monopoles on Seifert fibered spaces, Comm. Anal. Geom. 5 (197), 685-791.
    • Comm. Anal. Geom , vol.5 , Issue.197 , pp. 685-791
    • MROWKA, T.S.1    OZSVÁTH, P.S.2    Yu, B.3
  • 29
    • 22644438330 scopus 로고    scopus 로고
    • On knot Floer homology and lens space surgeries
    • P. S. OZSVÁTH and Z. SZABÓ, On knot Floer homology and lens space surgeries, Topology 44 (2005), 1281-1300.
    • (2005) Topology , vol.44 , pp. 1281-1300
    • OZSVÁTH, P.S.1    SZABÓ, Z.2
  • 30
    • 4243118036 scopus 로고    scopus 로고
    • Holomorphic disks and knot invariants
    • _, Holomorphic disks and knot invariants, Adv. Math. 186 (2004), 58-116.
    • (2004) Adv. Math , vol.186 , pp. 58-116
    • OZSVÁTH, P.S.1    SZABÓ, Z.2
  • 31
    • 0037428827 scopus 로고    scopus 로고
    • Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
    • _, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary. Adv. Math. 173 (2003), 179-261.
    • (2003) Adv. Math , vol.173 , pp. 179-261
    • OZSVÁTH, P.S.1    SZABÓ, Z.2
  • 32
    • 1642630532 scopus 로고    scopus 로고
    • On the Floer homology of plumbed three-manifolds
    • _, On the Floer homology of plumbed three-manifolds, Geom. Topol. 7 (2003), 185-224.
    • (2003) Geom. Topol , vol.7 , pp. 185-224
    • OZSVÁTH, P.S.1    SZABÓ, Z.2
  • 33
    • 16244407718 scopus 로고    scopus 로고
    • On the Heegaard Floer homology of branched double-covers
    • _, On the Heegaard Floer homology of branched double-covers, Adv. Math. 194 (2005), 1-33.
    • (2005) Adv. Math , vol.194 , pp. 1-33
    • OZSVÁTH, P.S.1    SZABÓ, Z.2
  • 34
    • 14544307318 scopus 로고    scopus 로고
    • Holomorphic disks and three-manifold invariants: Properties and applications
    • _, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004), 1159-1245.
    • (2004) Ann. of Math , vol.159 , pp. 1159-1245
    • OZSVÁTH, P.S.1    SZABÓ, Z.2
  • 35
    • 14544305951 scopus 로고    scopus 로고
    • Holomorphic disks and topological invariants for closed three-manifolds
    • _, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. 159 (2004), 1027-1158.
    • (2004) Ann. of Math , vol.159 , pp. 1027-1158
    • OZSVÁTH, P.S.1    SZABÓ, Z.2
  • 37
    • 3042753912 scopus 로고    scopus 로고
    • Taut foliations in punctured surface bundles. I
    • R. ROBERTS, Taut foliations in punctured surface bundles. I, Proc. London Math. Soc. 82 (2001), 747-768.
    • (2001) Proc. London Math. Soc , vol.82 , pp. 747-768
    • ROBERTS, R.1
  • 38
    • 28744456894 scopus 로고    scopus 로고
    • _, Taut foliations in punctured surface bundles. IT, Proc. London Math. Soc. 83 (2001), 443-471.
    • _, Taut foliations in punctured surface bundles. IT, Proc. London Math. Soc. 83 (2001), 443-471.
  • 39
    • 0038129397 scopus 로고    scopus 로고
    • Infinitely many hyperbolic 3-manifolds which contain no Reebless foliation
    • R. ROBERTS, J. SHARESHIAN, and M. STEIN, Infinitely many hyperbolic 3-manifolds which contain no Reebless foliation, J. Amer. Math. Soc. 16 (2003), 639-679.
    • (2003) J. Amer. Math. Soc , vol.16 , pp. 639-679
    • ROBERTS, R.1    SHARESHIAN, J.2    STEIN, M.3
  • 41
    • 84966239529 scopus 로고    scopus 로고
    • _, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381.
    • _, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-381.
  • 42
    • 0011442854 scopus 로고
    • Cyclic surgery on knots
    • S. C. WANG, Cyclic surgery on knots, Proc. Amer. Math. Soc. 107 (1989), 1091-1094.
    • (1989) Proc. Amer. Math. Soc , vol.107 , pp. 1091-1094
    • WANG, S.C.1
  • 43
    • 38249018151 scopus 로고
    • Cyclic surgery and satellite knots
    • Y. Q. WU, Cyclic surgery and satellite knots, Topology Appl. 36 (1990), 205-208.
    • (1990) Topology Appl , vol.36 , pp. 205-208
    • WU, Y.Q.1


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