On the turaev-viro-ocneanu invariant of 3-manifolds derived from the E6-subfactor

Kyushu Journal of Mathematics

Volumn 56, Issue 1, 2002, Pages 59-81

  Suzuki, Koutarou ^a   Wakui, Michihisa ^b  

^a NTT CORPORATION   (Japan)

^b OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042730260     PISSN: 13406116     EISSN: None     Source Type: Journal    
DOI: 10.2206/kyushujm.56.59     Document Type: Article

References (16)

1. M. F. Atiyah. Topological quantum field theories. Publ. Math. I.H.E.S. 68 (1989), 175–186
2. B. Durhuus, H. P. Jakobsen and R. Nest. Topological quantum field theories from generalized 6j-symbols. Rev. Math. Phys. 5 (1993), 1–67
3. D. E. Evans and Y. Kawahigashi. Quantum Symmetries on Operator Algebras. Oxford University Press, 1998
4. L. Feher, A. Stipsicz and J. Szenthe (eds). Topological Field Theories and Geometry of Loop Spaces. World Scientific, Singapore, 1992
5. M. Izumi. Subalgebras of infinite C∗-algebras with finite Watatani indices I : Cuntz algebras. Commun. Math. Phys. 155 (1993), 157–182
6. M. Izumi. Subalgebras of infinite C∗-algebras with finite Watatani indices II : Cuntz–Krieger algebras. Duke Math. J. 91 (1998), 409–461
7. M. Izumi. The structure of sectors associated with the Longo–Rehren inclusions I. General theory. Commun. Math. Phys. 213 (2000), 127–179
8. M. Izumi. The structure of sectors associated with the Longo–Rehren inclusions II. Examples. Rev. Math. Phys. 13 (2001), 603–674
9. H. Murakami (ed.). Research on the theory of topological quantum fields induced by 6j-symbols. Sūrikaiseki-kenkyūsho Kōkyūroku 1053 (1998), in Japanese
10. A. Ocneanu. Chirality for operator algebras. Subfactors (Proc. Taniguchi Symposium in 1993). World Scientific, Singapore, 1994
11. U. Pachner. P.L. homeomorphic manifolds are equivalent by elementary shellings. Europ. J. Combinat. 12 (1991), 129–145
12. K. Suzuki. E6 Turaev–Viro–Ocneanu invariant. PhD Thesis, University of Tokyo, 1999
13. V. G. Turaev. Quantum Invariants of Knots and 3-Manifolds. Walter de Gruyter, Berlin, 1994
14. V. G. Turaev and O. Ya. Viro. State sum invariants of 3-manifolds and quantum 6j-symbols. Topology 31 (1992), 865–902
15. E. Verlinde. Fusion rules and modular transformations in 2D conformal field theory. Nucl. Phys. B300 (1988), 360–376
16. M. Wakui. Fusion Algebras for Orbifold Models (a survey) (Topology, Geometry and Field Theory, 225–235). World Scientific, Singapore, 1994