메뉴 건너뛰기




Volumn 6, Issue 6, 1997, Pages 851-877

Casson-Lin's invariant and Floer homology

Author keywords

Braid; Floer homology; Maslov index; Signature of a knot; Symplectic diffeomorphism

Indexed keywords


EID: 0642310191     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216597000480     Document Type: Article
Times cited : (12)

References (34)
  • 1
    • 33646925958 scopus 로고
    • On a characteristic class entering into conditions of quantization
    • V. Arnold, On a characteristic class entering into conditions of quantization, Funt. Anal. Appl. 1, 1-8, (1967).
    • (1967) Funt. Anal. Appl. , vol.1 , pp. 1-8
    • Arnold, V.1
  • 5
    • 0003316111 scopus 로고
    • Braids, links and mapping class groups
    • Princeton University Press
    • J. S. Birman, Braids, links and mapping class groups, Ann. Math. Studies, No. 82, Princeton University Press (1974).
    • (1974) Ann. Math. Studies , vol.82
    • Birman, J.S.1
  • 6
    • 0001257214 scopus 로고
    • Floer's work on instanton homology, knots and surgery
    • ed. H. Hofer, C. Taubes, A. Weinstein and E. Zehnder, Birkhauser
    • P. Braam and S. Donaldson, Floer's work on instanton homology, knots and surgery, The Fleor Memorial Vol., ed. H. Hofer, C. Taubes, A. Weinstein and E. Zehnder, PM 133, 195-256, Birkhauser 1995.
    • (1995) The Fleor Memorial Vol. , vol.133 PM , pp. 195-256
    • Braam, P.1    Donaldson, S.2
  • 7
    • 0001255222 scopus 로고
    • SU(2)-representation spaces for two bridge knot groups
    • G. Burde, SU(2)-representation spaces for two bridge knot groups, Math. Ann., 288, 103 -119 (1990).
    • (1990) Math. Ann. , vol.288 , pp. 103-119
    • Burde, G.1
  • 9
    • 85033138456 scopus 로고    scopus 로고
    • Self-adjoint elliptic operators and manifold decompositions: I, II, III
    • S. Cappell, R. Lee and E. Miller, Self-adjoint elliptic operators and manifold decompositions: I, II, III; to appear in Comm. Pure. Appl. Math.
    • Comm. Pure. Appl. Math.
    • Cappell, S.1    Lee, R.2    Miller, E.3
  • 11
    • 0002576110 scopus 로고
    • Plane curves associated to charater varieties of 3-manifolds
    • D. Cooper, M. Culler, H. Gillet, D. Long and P. Shalen, Plane curves associated to charater varieties of 3-manifolds, Invent. Math, 115, 47-84 (1994).
    • (1994) Invent. Math , vol.115 , pp. 47-84
    • Cooper, D.1    Culler, M.2    Gillet, H.3    Long, D.4    Shalen, P.5
  • 12
    • 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
  • 14
    • 0000781004 scopus 로고
    • Symplectic fixed points and holomorphic spheres
    • A. Floer, Symplectic fixed points and holomorphic spheres, Comm. Math. Phys. 120, 575-611 (1989).
    • (1989) Comm. Math. Phys. , vol.120 , pp. 575-611
    • Floer, A.1
  • 15
    • 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. Z., 212, 13-38 (1993).
    • (1993) Math. Z. , vol.212 , pp. 13-38
    • Floer, A.1    Hofer, H.2
  • 16
    • 0001360773 scopus 로고
    • The symplectic nature of fundamental groups of surfaces
    • W. Goldman, The symplectic nature of fundamental groups of surfaces, Adv. Math. 54, 200-225 (1984).
    • (1984) Adv. Math. , vol.54 , pp. 200-225
    • Goldman, W.1
  • 17
    • 0040804374 scopus 로고
    • Pseudoholomorphic curves in symplectic manifolds
    • M. Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82, 307-347, (1985).
    • (1985) Invent. Math. , vol.82 , pp. 307-347
    • Gromov, M.1
  • 19
    • 0000681368 scopus 로고
    • Floer homology and Novikov rings
    • ed. H. Hofer, C. Taubes, A. Weinstein and E. Zehnder, Birkhauser
    • H. Hofer, D. Salamon, Floer homology and Novikov rings, The Fleor Memorial Vol., ed. H. Hofer, C. Taubes, A. Weinstein and E. Zehnder, PM 133, 483-524, Birkhauser 1995.
    • (1995) The Fleor Memorial Vol. , vol.133 PM , pp. 483-524
    • Hofer, H.1    Salamon, D.2
  • 20
    • 84966232256 scopus 로고
    • Representations of knot groups in SU(2)
    • E. Klassen, Representations of knot groups in SU(2), Trans. AMS, Vol 326, No 2, 795-828 (1991).
    • (1991) Trans. AMS , vol.326 , Issue.2 , pp. 795-828
    • Klassen, E.1
  • 21
    • 0000650440 scopus 로고
    • Symplectic fixed points, the Calabi invariant and Novikov homology
    • Lê Hông Vân and K. Ono, Symplectic fixed points, the Calabi invariant and Novikov homology, Topology, Vol 34, No 1. 155-176 (1995).
    • (1995) Topology , vol.34 , Issue.1 , pp. 155-176
    • Lê, H.V.1    Ono, K.2
  • 25
    • 84972534439 scopus 로고
    • A knot invariant via representation spaces
    • X. S. Lin, A knot invariant via representation spaces, J. Diff. Geom., 35, 337-357 (1992).
    • (1992) J. Diff. Geom. , vol.35 , pp. 337-357
    • Lin, X.S.1
  • 26
    • 0009066663 scopus 로고
    • Signature of iterated torus knots, in Topology of Low-Dimensional Manifolds
    • R. Litherland, Signature of iterated torus knots, In Topology of Low-Dimensional Manifolds, Springer Lecture Notes 722, 71-84, (1979).
    • (1979) Springer Lecture Notes , vol.722 , pp. 71-84
    • Litherland, R.1
  • 27
    • 0002214165 scopus 로고
    • Rings of Fricke characters and automorphism groups of free groups
    • W. Magnus, Rings of Fricke characters and automorphism groups of free groups, Math. Z. 170, 91-103 (1980).
    • (1980) Math. Z. , vol.170 , pp. 91-103
    • Magnus, W.1
  • 28
    • 84972581037 scopus 로고
    • On the signature invariants of a non-singular complex sequi-linear form
    • T. Matumoto, On the signature invariants of a non-singular complex sequi-linear form, J. Math. Soc. Japan, Vol 29, No 1, 67-71 (1977).
    • (1977) J. Math. Soc. Japan , vol.29 , Issue.1 , pp. 67-71
    • Matumoto, T.1
  • 29
  • 30
    • 0003387941 scopus 로고
    • Infinite cyclic coverings
    • Prindle Weber and Schmitdt, Boston
    • J. Milnor, Infinite cyclic coverings, Conference on the Topology of Manifolds, Prindle Weber and Schmitdt, Boston, 115-133 (1968).
    • (1968) Conference on the Topology of Manifolds , pp. 115-133
    • Milnor, J.1
  • 31
    • 38249002163 scopus 로고
    • 3 and the Jonc polynomial
    • 3 and the Jonc polynomial, Topology, 32 (1993), no. 2, 419-438.
    • (1993) Topology , vol.32 , Issue.2 , pp. 419-438
    • Mullins, D.1
  • 32
    • 84968482115 scopus 로고
    • On a certain numerical invariant of link types
    • K. Murasugi, On a certain numerical invariant of link types, Trans. AMS, 117, 387-422 (1965).
    • (1965) Trans. AMS , vol.117 , pp. 387-422
    • Murasugi, K.1
  • 33
  • 34
    • 0003332777 scopus 로고
    • An extension of Casson's invariant
    • K. Walker, An extension of Casson's invariant. Ann. of Math. Studies, Vol 126, (1992).
    • (1992) Ann. of Math. Studies , vol.126
    • Walker, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.