메뉴 건너뛰기




Volumn 44, Issue 6, 2005, Pages 1281-1300

On knot Floer homology and lens space surgeries

Author keywords

Alexander polynomial; Floer homology; Lens space surgery

Indexed keywords


EID: 22644438330     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.top.2005.05.001     Document Type: Article
Times cited : (413)

References (30)
  • 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    • unpublished manuscript
    • J.O. Berge, Some knots with surgeries giving lens spaces, unpublished manuscript.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
  • 2
    • 0030187564 scopus 로고    scopus 로고
    • Spherical space forms and Dehn filling
    • S.A. Bleiler C.D. Hodgson Spherical space forms and Dehn filling Topology 35 3 1996 809-833
    • (1996) Topology , vol.35 , Issue.3 , pp. 809-833
    • Bleiler, S.A.1    Hodgson, C.D.2
  • 3
    • 0000949256 scopus 로고
    • Trees, valuations, and the Bieri-Neumann-Strebel invariant
    • K.S. Brown Trees, valuations, and the Bieri-Neumann-Strebel invariant Invent. Math. 90 3 1987 479-504
    • (1987) Invent. Math. , vol.90 , Issue.3 , pp. 479-504
    • Brown, K.S.1
  • 4
    • 0001048095 scopus 로고
    • Genus of alternating link types
    • R. Crowell Genus of alternating link types Ann. of Math. (2) 69 1959 258-275
    • (1959) Ann. of Math. (2) , vol.69 , pp. 258-275
    • Crowell, R.1
  • 5
    • 84972525830 scopus 로고
    • Nonalternating links
    • R.H. Crowell Nonalternating links, Illinois J. Math. 3 1959 101-120
    • (1959) Illinois J. Math. , vol.3 , pp. 101-120
    • Crowell, R.H.1
  • 6
    • 0000596516 scopus 로고    scopus 로고
    • Alternating knots satisfy Strong Property P
    • C. Delman R. Roberts Alternating knots satisfy Strong Property P Comment. Math. Helv. 74 3 1999 376-397
    • (1999) Comment. Math. Helv. , vol.74 , Issue.3 , pp. 376-397
    • Delman, C.1    Roberts, R.2
  • 7
    • 0002205903 scopus 로고
    • Constructing lens spaces by surgery on knots
    • R. Fintushel R.J. Stern Constructing lens spaces by surgery on knots Math. Z. 175 1 1980 33-51
    • (1980) Math. Z. , vol.175 , Issue.1 , pp. 33-51
    • Fintushel, R.1    Stern, R.J.2
  • 8
    • 0003368726 scopus 로고
    • Formal knot theory
    • Princeton University Press, Princeton
    • L.H. Kauffman, Formal knot theory, Mathematical Notes, vol. 30, Princeton University Press, Princeton, 1983.
    • (1983) Mathematical Notes , vol.30
    • Kauffman, L.H.1
  • 9
    • 0000386310 scopus 로고
    • Gauge theory for embedded surfaces, I
    • P.B. Kronheimer T.S. Mrowka Gauge theory for embedded surfaces, I Topology 32 4 1993 773-826
    • (1993) Topology , vol.32 , Issue.4 , pp. 773-826
    • Kronheimer, P.B.1    Mrowka, T.S.2
  • 10
    • 0036972010 scopus 로고    scopus 로고
    • The Culler-Shalen seminorms of the (-2,3,n) pretzel knot
    • T.W. Mattman The Culler-Shalen seminorms of the (-2,3,n) pretzel knot J. Knot Theory Ramifications 11 8 2002 1251-1289
    • (2002) J. Knot Theory Ramifications , vol.11 , Issue.8 , pp. 1251-1289
    • Mattman, T.W.1
  • 11
    • 0001863476 scopus 로고
    • Closed incompressible surfaces in alternating knot and link complements
    • W. Menasco Closed incompressible surfaces in alternating knot and link complements Topology 23 1 1984 37-44
    • (1984) Topology , vol.23 , Issue.1 , pp. 37-44
    • Menasco, W.1
  • 13
    • 0002982313 scopus 로고
    • Singular points of complex hypersurfaces
    • Princeton University Press, Princeton
    • J.W. Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, vol. 61, Princeton University Press, Princeton, 1968.
    • (1968) Annals of Mathematics Studies , vol.61
    • Milnor, J.W.1
  • 14
    • 84972508237 scopus 로고
    • On the genus of the alternating knot, I, II
    • K. Murasugi, On the genus of the alternating knot, I, II, J. Math. Soc. Japan 10 (1958) 94-105, 235-248.
    • (1958) J. Math. Soc. Japan , vol.10
    • Murasugi, K.1
  • 15
    • 0037428827 scopus 로고    scopus 로고
    • Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary
    • P.S. Ozsváth Z. Szabó Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary Adv. Math. 173 2 2003 179-261
    • (2003) Adv. Math. , vol.173 , Issue.2 , pp. 179-261
    • Ozsváth, P.S.1    Szabó, Z.2
  • 16
    • 14544307318 scopus 로고    scopus 로고
    • Holomorphic disks and three-manifold invariants: Properties and applications
    • math.SG/0105202
    • P.S. Ozsváth, Z. Szabó, Holomorphic disks and three-manifold invariants: Properties and applications, math.SG/0105202, Ann. Math. (2) 159 (3) (2004) 1159-1245.
    • (2004) Ann. Math. (2) , vol.159 , Issue.3 , pp. 1159-1245
    • Ozsváth, P.S.1    Szabó, Z.2
  • 17
    • 14544305951 scopus 로고    scopus 로고
    • Holomorphic disks and topological invariants for closed three-manifolds
    • math. SG/0101206
    • P.S. Ozsváth, Z. Szabó, Holomorphic disks and topological invariants for closed three-manifolds, math. SG/0101206, Ann. Math. (2) 159 (3) (2004) 1027-1158.
    • (2004) Ann. Math. (2) , vol.159 , Issue.3 , pp. 1027-1158
    • Ozsváth, P.S.1    Szabó, Z.2
  • 18
    • 4243182017 scopus 로고    scopus 로고
    • Heegaard Floer homologies and contact structures
    • preprint
    • P.S. Ozsváth, Z. Szabó, Heegaard Floer homologies and contact structures, preprint, 2002.
    • (2002)
    • Ozsváth, P.S.1    Szabó, Z.2
  • 19
    • 4243118036 scopus 로고    scopus 로고
    • Holomorphic disks and knot invariants
    • P.S. Ozsváth, Z. Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (1) (2004) 58-116.
    • (2004) Adv. Math. , vol.186 , Issue.1 , pp. 58-116
    • Ozsváth, P.S.1    Szabó, Z.2
  • 20
    • 4243127566 scopus 로고    scopus 로고
    • Knot Floer homology and the four-ball genus
    • P.S. Ozsváth Z. Szabó Knot Floer homology and the four-ball genus Geom. Topol. 7 2003 615-643
    • (2003) Geom. Topol. , vol.7 , pp. 615-643
    • Ozsváth, P.S.1    Szabó, Z.2
  • 21
    • 1642630532 scopus 로고    scopus 로고
    • On the Floer homology of plumbed three-manifolds
    • P.S. Ozsváth Z. Szabó 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
  • 22
    • 1642587273 scopus 로고    scopus 로고
    • Holomorphic triangle invariants and the topology of symplectic four-manifolds
    • P.S. Ozsváth Z. Szabó Holomorphic triangle invariants and the topology of symplectic four-manifolds Duke Math. J. 121 2004 1-34
    • (2004) Duke Math. J. , vol.121 , pp. 1-34
    • Ozsváth, P.S.1    Szabó, Z.2
  • 23
    • 2342613012 scopus 로고    scopus 로고
    • Floer homology and knot complements
    • Ph.D. Thesis, Harvard University
    • J. Rasmussen, Floer homology and knot complements, Ph.D. Thesis, Harvard University, 2003.
    • (2003)
    • Rasmussen, J.1
  • 24
    • 0038292676 scopus 로고
    • The geometries of 3-manifolds
    • P. Scott The geometries of 3-manifolds Bull. London Math. Soc. 15 1983 401-487
    • (1983) Bull. London Math. Soc. , vol.15 , pp. 401-487
    • Scott, P.1
  • 25
    • 0010157739 scopus 로고
    • Topologie dreidimensionaler gefaserter Räume
    • H. Seifert Topologie dreidimensionaler gefaserter Räume Acta Math. 60 1932 147-238
    • (1932) Acta Math. , vol.60 , pp. 147-238
    • Seifert, H.1
  • 26
    • 0003125391 scopus 로고
    • On fibering certain 3-manifolds
    • M.K. Fort, jr. (Ed.) (Proceedings of the University of Georgia Institute, 1961), Prentice-Hall, Englewood Cliff, NJ
    • J. Stallings, On fibering certain 3-manifolds, in: M.K. Fort, jr. (Ed.), Topology of 3-manifolds and Related Topics (Proceedings of the University of Georgia Institute, 1961), Prentice-Hall, Englewood Cliff, NJ, 1962, pp. 95-100.
    • (1962) Topology of 3-manifolds and Related Topics , pp. 95-100
    • Stallings, J.1
  • 27
    • 0003746329 scopus 로고
    • The geometry and topology of 3-manifolds
    • Princeton University
    • W.P. Thurston, The geometry and topology of 3-manifolds, Lecture Notes, Princeton University, 1977.
    • (1977) Lecture Notes
    • Thurston, W.P.1
  • 28
    • 84966239529 scopus 로고
    • Three-dimensional manifolds, Kleinian groups and hyperbolic geometry
    • W.P. Thurston Three-dimensional manifolds, Kleinian groups and hyperbolic geometry Bull. Amer. Math. Soc. (N.S.) 6 3 1982 357-381
    • (1982) Bull. Amer. Math. Soc. (N.S.) , vol.6 , Issue.3 , pp. 357-381
    • Thurston, W.P.1
  • 29
    • 0031283603 scopus 로고    scopus 로고
    • c-structures on 3-manifolds
    • c-structures on 3-manifolds Math. Res. Lett. 4 1997 679-695
    • (1997) Math. Res. Lett. , vol.4 , pp. 679-695
    • Turaev, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.