메뉴 건너뛰기




Volumn 39, Issue 6, 2000, Pages 1103-1135

The perturbative SO(3) invariant of rational homology 3-spheres recovers from the universal perturbative invariant

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034311422     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(99)00001-4     Document Type: Article
Times cited : (8)

References (40)
  • 2
    • 0000970787 scopus 로고
    • On the Vassiliev knot invariants
    • D. Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423-472.
    • (1995) Topology , vol.34 , pp. 423-472
    • Bar-Natan, D.1
  • 3
    • 0000178436 scopus 로고
    • Three-manifold invariants derived from the Kauffman bracket
    • C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Three-manifold invariants derived from the Kauffman bracket, Topology 31 (1992) 685-699.
    • (1992) Topology , vol.31 , pp. 685-699
    • Blanchet, C.1    Habegger, N.2    Masbaum, G.3    Vogel, P.4
  • 5
    • 85033075594 scopus 로고    scopus 로고
    • On finite type 3-manifold invariants III: Manifold weight systems
    • submitted
    • S. Garoufalidis, T. Ohtsuki, On finite type 3-manifold invariants III: Manifold weight systems, Topology, submitted.
    • Topology
    • Garoufalidis, S.1    Ohtsuki, T.2
  • 6
    • 0003198090 scopus 로고
    • Introduction to Lie algebras and representation theory
    • Springer, Berlin
    • J.E. Humphreys, Introduction to Lie algebras and representation theory. Graduate Texts in Mathematics, Vol. 9. Springer, Berlin, 1972.
    • (1972) Graduate Texts in Mathematics , vol.9
    • Humphreys, J.E.1
  • 8
    • 0003209688 scopus 로고    scopus 로고
    • Temperley-lieb recoupling theory and invariants of 3-manifolds
    • Princeton Univ. Press, Princeton, NJ
    • L.H. Kauffman, S.L. Lins, Temperley-lieb recoupling theory and invariants of 3-manifolds, Annals of Mathematical Studies, Vol. 134, Princeton Univ. Press, Princeton, NJ.
    • Annals of Mathematical Studies , vol.134
    • Kauffman, L.H.1    Lins, S.L.2
  • 9
    • 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), Inventiones Mathematicae 105 (1991) 473-545.
    • (1991) Inventiones Mathematicae , vol.105 , pp. 473-545
    • Kirby, R.1    Melvin, P.2
  • 10
    • 0002427934 scopus 로고
    • Topological invariants for 3-manifolds using representations of mapping class group I
    • T. Kohno, Topological invariants for 3-manifolds using representations of mapping class group I, Topology 31 (1992) 203-230.
    • (1992) Topology , vol.31 , pp. 203-230
    • Kohno, T.1
  • 12
    • 0001451604 scopus 로고    scopus 로고
    • Level-rank duality of Witten's 3-manifold invariants
    • T. Kohno, T. Takata, Level-rank duality of Witten's 3-manifold invariants. Advanced Studies in Pure Mathematics 24 (1996) 243-264.
    • (1996) Advanced Studies in Pure Mathematics , vol.24 , pp. 243-264
    • Kohno, T.1    Takata, T.2
  • 18
    • 21844514961 scopus 로고
    • Representations of the category of tangles by Kontsevich's iterated integral
    • T.T.Q. Le, J. Murakami, Representations of the category of tangles by Kontsevich's iterated integral, Communications in Mathematical Physics 168 (1995) 535-562.
    • (1995) Communications in Mathematical Physics , vol.168 , pp. 535-562
    • Le, T.T.Q.1    Murakami, J.2
  • 19
    • 0001015002 scopus 로고
    • Kontsevich integral for HOMFLY polynomials and relations between multiple zeta values
    • T.T.Q. Le, J. Murakami, Kontsevich integral for HOMFLY polynomials and relations between multiple zeta values, Topology and its Application 62 (1995) 193-206.
    • (1995) Topology and Its Application , vol.62 , pp. 193-206
    • Le, T.T.Q.1    Murakami, J.2
  • 20
    • 0001802949 scopus 로고    scopus 로고
    • The universal Vassiliev-Kontsevich invariant for framed oriented links
    • T.T.Q. Le, J. Murakami, The universal Vassiliev-Kontsevich invariant for framed oriented links, Compositio Mathematica 102 (1996) 41-64.
    • (1996) Compositio Mathematica , vol.102 , pp. 41-64
    • Le, T.T.Q.1    Murakami, J.2
  • 25
    • 85037789711 scopus 로고    scopus 로고
    • On a universal perturbative invariant of 3-manifolds
    • to appear
    • T.T.Q. Le, J. Murakami, T. Ohtsuki, On a universal perturbative invariant of 3-manifolds, Topology, to appear.
    • Topology
    • Le, T.T.Q.1    Murakami, J.2    Ohtsuki, T.3
  • 29
    • 0030546896 scopus 로고    scopus 로고
    • A polynomial invariant of rational homology 3-spheres
    • T. Ohtsuki, A polynomial invariant of rational homology 3-spheres, Inventiones Mathematicae 123 (1996) 241-257.
    • (1996) Inventiones Mathematicae , vol.123 , pp. 241-257
    • Ohtsuki, T.1
  • 30
  • 31
    • 85034484062 scopus 로고    scopus 로고
    • Combinatorial quantum method in 3-dimensional topology
    • available at
    • T. Ohtsuki, Combinatorial quantum method in 3-dimensional topology. Lecture Note at Oiwake Seminar, 1996. available at http: //www.is.titech.ac.jp/labs/ohtsukilab.
    • (1996) Lecture Note at Oiwake Seminar
    • Ohtsuki, T.1
  • 32
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • N. Reshetikhin, V.G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Inventiones Mathematicae 103 (1991) 547-597.
    • (1991) Inventiones Mathematicae , vol.103 , pp. 547-597
    • Reshetikhin, N.1    Turaev, V.G.2
  • 36
    • 0000093817 scopus 로고
    • The Yang-Baxter equation and invariants of links
    • V.G. Turaev, The Yang-Baxter equation and invariants of links, Inventiones Mathematicae 92 (1988) 527-553.
    • (1988) Inventiones Mathematicae , vol.92 , pp. 527-553
    • Turaev, V.G.1
  • 37
    • 0000316102 scopus 로고
    • Quantum invariants of 3-manifolds associated with classical simple Lie algebras
    • V. Turaev, H. Wenzl, Quantum invariants of 3-manifolds associated with classical simple Lie algebras, International Journal of Mathematics 4 (1993) 323-358.
    • (1993) International Journal of Mathematics , vol.4 , pp. 323-358
    • Turaev, V.1    Wenzl, H.2
  • 38
    • 0002668863 scopus 로고
    • Braids and invariants of 3-manifolds
    • H. Wenzl, Braids and invariants of 3-manifolds, Inventiones Mathematicae 114 (1993) 235-275.
    • (1993) Inventiones Mathematicae , vol.114 , pp. 235-275
    • Wenzl, H.1
  • 39
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • E. Witten, Quantum field theory and the Jones polynomial, Communications in Mathematical Physics 121 (1989) 360-379.
    • (1989) Communications in Mathematical Physics , vol.121 , pp. 360-379
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.