We obtain a projectively linear representation of SL(2, Z) from invariants defined by Reshetikhin and Turaev and prove 'Verlinde's formula' for SU(2) based on the computation of invariants. Using an algebra associated with 'Ising model', we constract invariants of links and 3-manifolds.
Cite this article
Toshie Takata, Invariants of 3-Manifolds Associated with Quantum Groups and Verlinde's Formula. Publ. Res. Inst. Math. Sci. 28 (1992), no. 1, pp. 139–167DOI 10.2977/PRIMS/1195168860