메뉴 건너뛰기




Volumn 127, Issue 8, 1999, Pages 2483-2488

On the witten-reshetikhin-turaev representations of mapping class groups

Author keywords

Mapping class group; TQFT

Indexed keywords


EID: 22644448587     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04796-6     Document Type: Article
Times cited : (13)

References (20)
  • 1
    • 0004287440 scopus 로고
    • [A] Lezioni Lincee [Lincei Lectures], Cambridge Univ. Press, Cambridge, MR 92b:57008
    • [A] M. F. Atiyah, The Geometry and Physics of Knots, Lezioni Lincee [Lincei Lectures], Cambridge Univ. Press, Cambridge, 1990. MR 92b:57008
    • (1990) The Geometry and Physics of Knots
    • Atiyah, M.F.1
  • 2
    • 0000615773 scopus 로고
    • Topological quantum field theories derived from the Kauffman bracket
    • [BHMV] MR 961:57015
    • [BHMV] C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Topological quantum field theories derived from the Kauffman bracket, Topology 34 (1995), 883-927. MR 961:57015
    • (1995) Topology , vol.34 , pp. 883-927
    • Blanchet, C.1    Habegger, N.2    Masbaum, G.3    Vogel, P.4
  • 4
    • 0039626196 scopus 로고    scopus 로고
    • Invariants for 1-dimensional cohomology classes arising from TQFT
    • [G1] MR 97k:57018
    • [G1] P. Gilmer, Invariants for 1-dimensional cohomology classes arising from TQFT, Top. and its Appl. 75 (1996), 217-259. MR 97k:57018
    • (1996) Top. and Its Appl. , vol.75 , pp. 217-259
    • Gilmer, P.1
  • 5
    • 0040218109 scopus 로고    scopus 로고
    • Turaev-Viro Modules of Satellite Knots
    • [G2] _, S. Suzuchi, ed., World Scientific
    • [G2] _, Turaev-Viro Modules of Satellite Knots, Knots 96 (S. Suzuchi, ed.), World Scientific, 1997, pp. 337-363.
    • (1997) Knots , vol.96 , pp. 337-363
  • 6
    • 0000440716 scopus 로고
    • Chern-Simons- Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
    • [J] MR93f:57042
    • [J] L. Jeffrey, Chern-Simons- Witten invariants of lens spaces and torus bundles, and the semiclassical approximation, Commun. Math. Phys. 147 (1992), 563-604. MR93f:57042
    • (1992) Commun. Math. Phys. , vol.147 , pp. 563-604
    • Jeffrey, L.1
  • 7
    • 84973963366 scopus 로고
    • Quantum SU(2) invariants dominate Casson's SU(2) invariant
    • [M1] MR 95h:57020
    • [M1] H. Murakami, Quantum SU(2) invariants dominate Casson's SU(2) invariant, Math. Proc. Camb. Phil Soc. 115 (1995), 253-281. MR 95h:57020
    • (1995) Math. Proc. Camb. Phil Soc. , vol.115 , pp. 253-281
    • Murakami, H.1
  • 8
    • 84973985319 scopus 로고
    • Quantum SO(3) invariants dominate the SU(2) invariant of Casson and Walker
    • [M2] MR 95k:57027
    • [M2] H. Murakami, Quantum SO(3) invariants dominate the SU(2) invariant of Casson and Walker, Math. Proc. Camb. Phil Soc. 117 (1995), 237-249. MR 95k:57027
    • (1995) Math. Proc. Camb. Phil Soc. , vol.117 , pp. 237-249
    • Murakami, H.1
  • 9
    • 21744442035 scopus 로고    scopus 로고
    • A simple proof of integrality of quantum invariants at prime roots of unity
    • [MR1] CMP 97:08
    • [MR1] G. Masbaum, J. Roberts, A simple proof of integrality of quantum invariants at prime roots of unity, Math. Proc. Camb. Phil Soc. 121 (1997), 443-454. CMP 97:08
    • (1997) Math. Proc. Camb. Phil Soc. , vol.121 , pp. 443-454
    • Masbaum, G.1    Roberts, J.2
  • 10
    • 0009075032 scopus 로고
    • On central extensions of mapping class groups
    • [MR2] _, MR
    • [MR2] _, On central extensions of mapping class groups, Math. Annallen 302 (1995), 131-150. MR 961:57013
    • (1995) Math. Annallen , vol.302 , pp. 131-150
  • 11
    • 84974265417 scopus 로고
    • Jones polynomial invariants for knots and satellites
    • [MS] MR 91j:57007
    • [MS] H. R. Morton and P. M. Strickland, Jones polynomial invariants for knots and satellites, Math. Proc. Cambridge Philos. Soc. 109 (1991), 83-103. MR 91j:57007
    • (1991) Math. Proc. Cambridge Philos. Soc. , vol.109 , pp. 83-103
    • Morton, H.R.1    Strickland, P.M.2
  • 12
    • 0001218340 scopus 로고
    • Lectures on Axiomatic Topological Quantum Field Theory
    • [Q] D. Freed, K.Uhlenbeck, ed., American Math Soc., MR 96e:57021
    • [Q] F. Quinn, Lectures on Axiomatic Topological Quantum Field Theory, Geometry and Quantum Field theory (D. Freed, K.Uhlenbeck, ed.), American Math Soc., 1995. MR 96e:57021
    • (1995) Geometry and Quantum Field Theory
    • Quinn, F.1
  • 13
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link-polynomials and quantum groups
    • [RT] MR 92b:57024
    • [RT] N. Reshetikhin, V. Turaev, Invariants of 3-manifolds via link-polynomials and quantum groups, Invent. Math. 103 (1991), 547-597. MR 92b:57024
    • (1991) Invent. Math. , vol.103 , pp. 547-597
    • Reshetikhin, N.1    Turaev, V.2
  • 17
    • 0000384278 scopus 로고
    • Non-additivity of the signature
    • [Wall] MR 39:7615
    • [Wall] C.T.C. Wall, Non-additivity of the signature, Invent. Math. 7 (1969), 269-274. MR 39:7615
    • (1969) Invent. Math. , vol.7 , pp. 269-274
    • Wall, C.T.C.1
  • 18
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • [W] MR 90h:57009
    • [W] E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989), 351-399. MR 90h:57009
    • (1989) Commun. Math. Phys. , vol.121 , pp. 351-399
    • Witten, E.1
  • 19
    • 0038596077 scopus 로고
    • The Reshetikhin-Turaev representation of the mapping class group
    • [Wr1] MR 95k:57028
    • [Wr1] G. Wright, The Reshetikhin-Turaev representation of the mapping class group, Jour. Knot Th. Ramif. 3 (1994), 547-574. MR 95k:57028
    • (1994) Jour. Knot Th. Ramif. , vol.3 , pp. 547-574
    • Wright, G.1
  • 20
    • 0642347433 scopus 로고    scopus 로고
    • The Reshetikhin-Turaev representation of the mapping class group at the sixth root of unity
    • [Wr2] _, MR
    • [Wr2] _, The Reshetikhin-Turaev representation of the mapping class group at the sixth root of unity, Jour. Knot Th. Ramif. 5 (1996), 721-739. MR 97i:57020
    • (1996) Jour. Knot Th. Ramif. , vol.5 , pp. 721-739


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.