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Volumn 6, Issue 1, 1997, Pages 79-93

Casson-Walker Invariant of Seifert Fibered Rational Homology Spheres as Quantum SO(3)-Invariant

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EID: 0031524343     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216597000078     Document Type: Article
Times cited : (6)

References (22)
  • 1
    • 0003322239 scopus 로고
    • Casson's invariant for oriented homology 3-spheres, an exposition
    • Princeton University Press
    • S. Akbulut, J.D. McCarthy: "Casson's invariant for oriented homology 3-spheres, an exposition," Mathematical Notes 36, Princeton University Press, 1990.
    • (1990) Mathematical Notes , vol.36
    • Akbulut, S.1    McCarthy, J.D.2
  • 3
    • 0041075797 scopus 로고
    • Casson's invariant of Seifert homology 3-spheres
    • S. Fukuhara, Y. Matsumoto, K. Sakamoto: Casson's invariant of Seifert homology 3-spheres, Math. Ann. 287 (1990), 275-285.
    • (1990) Math. Ann. , vol.287 , pp. 275-285
    • Fukuhara, S.1    Matsumoto, Y.2    Sakamoto, K.3
  • 5
    • 0000440716 scopus 로고
    • Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
    • L.C. Jeffrey: Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation, Commun. Math. Phys. 147 (1992), 563-604.
    • (1992) Commun. Math. Phys. , vol.147 , pp. 563-604
    • Jeffrey, L.C.1
  • 7
    • 0001673424 scopus 로고
    • The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C)
    • R. Kirby, P. Melvin: The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C), Invent Math. 105 (1991), 473-545.
    • (1991) Invent Math. , vol.105 , pp. 473-545
    • Kirby, R.1    Melvin, P.2
  • 8
    • 0040955482 scopus 로고
    • Invariant de Casson-Walker des sphéres d'homologie rationnelle fibrées de Seifert
    • Série I
    • C. Lescop: Invariant de Casson-Walker des sphéres d'homologie rationnelle fibrées de Seifert, C.R. Acad. Sci. Paris, t. 310 Série I (1990), 727-730.
    • (1990) C.R. Acad. Sci. Paris , vol.310 , pp. 727-730
    • Lescop, C.1
  • 12
    • 84973985319 scopus 로고
    • Quantum SO(3)-invariants dominate the SU(2)-invariant of Casson and Walker
    • H. Murakami: Quantum SO(3)-invariants dominate the SU(2)-invariant of Casson and Walker, Math. Proc. Cambridge Phil. Soc. 117 (1995), 237-249.
    • (1995) Math. Proc. Cambridge Phil. Soc. , vol.117 , pp. 237-249
    • Murakami, H.1
  • 13
    • 0001521507 scopus 로고
    • Seifert manifolds, plumbing, μ-invariant and orientation reversing maps
    • Berlin Heidelberg New York
    • W.D. Neumann, F. Raymond: Seifert manifolds, plumbing, μ-invariant and orientation reversing maps, Algebraic and Geometric Topology (Lect. Notes Math., vol 664, pp163-196) Berlin Heidelberg New York (1978).
    • (1978) Algebraic and Geometric Topology (Lect. Notes Math.) , vol.664 , pp. 163-196
    • Neumann, W.D.1    Raymond, F.2
  • 14
    • 51249175292 scopus 로고
    • Casson invariant of links of singularities
    • W.D. Neumann, J. Wahl: Casson invariant of links of singularities, Comment. Math. Helvetici 65 (1990), 58-78.
    • (1990) Comment. Math. Helvetici , vol.65 , pp. 58-78
    • Neumann, W.D.1    Wahl, J.2
  • 15
    • 85033152840 scopus 로고    scopus 로고
    • A polynomial invariant of rational homology 3-spheres
    • to appear
    • T. Ohtsuki: A polynomial invariant of rational homology 3-spheres, to appear in Invent. Math.
    • Invent. Math.
    • Ohtsuki, T.1
  • 16
    • 0003348894 scopus 로고
    • Seifert manifolds
    • Springer-Verlag
    • P. Orlik: "Seifert manifolds," Lecture Notes in Math. vol. 291, Springer-Verlag, 1972.
    • (1972) Lecture Notes in Math. , vol.291
    • Orlik, P.1
  • 17
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • N.Yu. Reshetikhin, V.G. Turaev: Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-597.
    • (1991) Invent. Math. , vol.103 , pp. 547-597
    • Reshetikhin, N.Yu.1    Turaev, V.G.2
  • 18
    • 21844507036 scopus 로고
    • A large k asymptotics of Witten's invariant of Seifert manifolds
    • L. Rozansky: A large k asymptotics of Witten's invariant of Seifert manifolds, Commun. Math. Phys. 171 (1995), 279-322.
    • (1995) Commun. Math. Phys. , vol.171 , pp. 279-322
    • Rozansky, L.1
  • 20
    • 0010157739 scopus 로고
    • Topology of 3-dimensional fibered spaces
    • H. Seifert: Topology of 3-dimensional fibered spaces, Acta Math. 60 (1933), 147-238.
    • (1933) Acta Math. , vol.60 , pp. 147-238
    • Seifert, H.1
  • 21
    • 0003332777 scopus 로고
    • An extension of Casson's invariant
    • Princeton University Press, Princeton
    • K. Walker: "An extension of Casson's invariant," Annals of Mathematics Studies, 126, Princeton University Press, Princeton, 1992.
    • (1992) Annals of Mathematics Studies , vol.126
    • Walker, K.1
  • 22
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • E. Witten: Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989), 351-399.
    • (1989) Commun. Math. Phys. , vol.121 , pp. 351-399
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.