메뉴 건너뛰기




Volumn 121, Issue 3, 1996, Pages 443-454

A simple proof of integrality of quantum invariants at prime roots of unity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21744442035     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0305004196001624     Document Type: Article
Times cited : (41)

References (28)
  • 1
    • 84972540587 scopus 로고
    • Chern-Simons perturbation theory. II
    • S. AXELROD and I. M. SINGER. Chern-Simons perturbation theory. II. J. Diff. Geom. 39 (1994), 173-213.
    • (1994) J. Diff. Geom. , vol.39 , pp. 173-213
    • Axelrod, S.1    Singer, I.M.2
  • 3
    • 0000178436 scopus 로고
    • Three-manifold invariants derived from the Kauffman bracket
    • C. BLANCHET, N. HABEGGER, G. MASBAUM and 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
    • 0000615773 scopus 로고
    • Topological quantum field theories derived from the Kauffman bracket
    • C. BLANCHET, N. HABEGGER, G. MASBAUM and P. VOGEL. Topological quantum field theories derived from the Kauffman bracket. Topology 34 (1995), 883-927.
    • (1995) Topology , vol.34 , pp. 883-927
    • Blanchet, C.1    Habegger, N.2    Masbaum, G.3    Vogel, P.4
  • 6
    • 0002059464 scopus 로고
    • Computer calculations of Witten's 3-manifold invariant
    • D. S. FREED and R. E. GOMPF. Computer calculations of Witten's 3-manifold invariant. Comm. Math. Phys. 141 (1991), 79-117.
    • (1991) Comm. Math. Phys. , vol.141 , pp. 79-117
    • Freed, D.S.1    Gompf, R.E.2
  • 7
    • 0010806038 scopus 로고
    • Index for subfactors
    • V. F. R. JONES. Index for subfactors. Invent. Math. 72 (1983), 1-25.
    • (1983) Invent. Math. , vol.72 , pp. 1-25
    • Jones, V.F.R.1
  • 8
    • 84968518084 scopus 로고
    • A polynomial invariant for links via von Neumann algebras
    • V. F. R. JONES. A polynomial invariant for links via von Neumann algebras. Bull. Amer. Math. Soc. 12 (1985), 103-111.
    • (1985) Bull. Amer. Math. Soc. , vol.12 , pp. 103-111
    • Jones, V.F.R.1
  • 9
    • 0000282829 scopus 로고
    • State models and the Jones polynomial
    • L. H. KAUFFMAN. State models and the Jones polynomial. Topology 26 (1987), 395-401.
    • (1987) Topology , vol.26 , pp. 395-401
    • Kauffman, L.H.1
  • 10
    • 0003209688 scopus 로고
    • Temperley-Lieb recoupling theory and invariants of 3-manifolds
    • Princeton University Press
    • L. H. KAUFFMAN and S. L. LINS. Temperley-Lieb recoupling theory and invariants of 3-manifolds. Ann. Math. Studies 133 (Princeton University Press, 1994).
    • (1994) Ann. Math. Studies , vol.133
    • Kauffman, L.H.1    Lins, S.L.2
  • 11
    • 34250285454 scopus 로고
    • A calculus for framed links
    • R. KIRBY. A calculus for framed links. Invent. Math. 45 (1978), 35-56.
    • (1978) Invent. Math. , vol.45 , pp. 35-56
    • Kirby, R.1
  • 12
    • 0001673424 scopus 로고
    • The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C)
    • R. C. KIRBY and 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.C.1    Melvin, P.2
  • 14
    • 0000364897 scopus 로고
    • Three-manifold invariants and the Temperley-Lieb algebra
    • W. B. R. LICKORISH. Three-manifold invariants and the Temperley-Lieb algebra. Math. Ann. 290 (1991), 657-670.
    • (1991) Math. Ann. , vol.290 , pp. 657-670
    • Lickorish, W.B.R.1
  • 15
    • 51249165812 scopus 로고
    • Calculations with the Temperley-Lieb algebra
    • W. B. R. LICKORISH. Calculations with the Temperley-Lieb algebra. Comm. Math. Helv. 67 (1992), 571-591.
    • (1992) Comm. Math. Helv. , vol.67 , pp. 571-591
    • Lickorish, W.B.R.1
  • 16
    • 0000484189 scopus 로고
    • The skein method for 3-manifold invariants
    • W. B. R. LICKORISH. The skein method for 3-manifold invariants. J. Knot Th. Ram. 2 (1993), 171-194.
    • (1993) J. Knot Th. Ram. , vol.2 , pp. 171-194
    • Lickorish, W.B.R.1
  • 17
    • 84972552162 scopus 로고
    • 3-valent graphs and the Kauffman bracket
    • G. MASBAUM and P. VOGEL. 3-valent graphs and the Kauffman bracket. Pacific J. Math. 164 (1994), 361-381.
    • (1994) Pacific J. Math. , vol.164 , pp. 361-381
    • Masbaum, G.1    Vogel, P.2
  • 18
    • 84973963366 scopus 로고
    • Quantum SU(2)-invariants dominate Casson's SU(2)-invariant
    • H. MURAKAMI. Quantum SU(2)-invariants dominate Casson's SU(2)-invariant. Math. Proc. Camb. Phil. Soc. 115 (1993), 253-281.
    • (1993) Math. Proc. Camb. Phil. Soc. , vol.115 , pp. 253-281
    • Murakami, H.1
  • 19
    • 84973985319 scopus 로고
    • Quantum SO(2)-invariants dominate the SU(2)-invariant of Casson and Walker
    • H. MURAKAMI. Quantum SO(2)-invariants dominate the SU(2)-invariant of Casson and Walker. Math. Proc. Camb. Phil. Soc. 117 (1995), 237-249.
    • (1995) Math. Proc. Camb. Phil. Soc. , vol.117 , pp. 237-249
    • Murakami, H.1
  • 20
    • 84974220831 scopus 로고
    • A polynomial invariant of integral homology spheres
    • T. OHTSUKI. A polynomial invariant of integral homology spheres. Math. Proc. Camb. Phil. Soc. 117 (1995), 83-112.
    • (1995) Math. Proc. Camb. Phil. Soc. , vol.117 , pp. 83-112
    • Ohtsuki, T.1
  • 21
    • 85086288669 scopus 로고    scopus 로고
    • A polynomial invariant of rational homology spheres
    • to appear
    • T. OHTSUKI. A polynomial invariant of rational homology spheres. Invent. Math. (to appear).
    • Invent. Math.
    • Ohtsuki, T.1
  • 22
    • 0000155804 scopus 로고
    • Skein theory and Turaev-Viro invariants
    • J. D. ROBERTS. Skein theory and Turaev-Viro invariants. Topology 34 (1995), 771-787.
    • (1995) Topology , vol.34 , pp. 771-787
    • Roberts, J.D.1
  • 23
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • N. YU. RESHETIKHIN and 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.Y.U.1    Turaev, V.G.2
  • 24
    • 33748735543 scopus 로고
    • Homology cobordism and the simplest perturbative Chern-Simons invariant
    • (ed. S.-T. Yau) International Press
    • C. H. TAUBES. Homology cobordism and the simplest perturbative Chern-Simons invariant. In Geometry, Topology and Physics for Raoul Bott (ed. S.-T. Yau) (International Press, 1995).
    • (1995) Geometry, Topology and Physics for Raoul Bott
    • Taubes, C.H.1
  • 25
    • 44049114062 scopus 로고
    • State sum invariants of 3-manifolds and quantum 6j-symbols
    • V. G. TURAEV and O. YA. VIRO. State sum invariants of 3-manifolds and quantum 6j-symbols. Topology 31 (1992), 865-902.
    • (1992) Topology , vol.31 , pp. 865-902
    • Turaev, V.G.1    Viro, O.Y.A.2
  • 27
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • E. WITTEN. Quantum field theory and the Jones polynomial. Comm. Math. Phys. 121 (1989), 351-399.
    • (1989) Comm. Math. Phys. , vol.121 , pp. 351-399
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.