Invariants of 3-Manifolds Associated with Quantum Groups and Verlinde's Formula

Toshie Takata

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)139-167
Number of pages29
JournalPublications of the Research Institute for Mathematical Sciences
Volume28
Issue number1
DOIs
Publication statusPublished - Jan 1 1992

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Quantum Groups
Invariant
Linear Representation
Ising Model
Algebra

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Invariants of 3-Manifolds Associated with Quantum Groups and Verlinde's Formula. / Takata, Toshie.

In: Publications of the Research Institute for Mathematical Sciences, Vol. 28, No. 1, 01.01.1992, p. 139-167.

Research output: Contribution to journal › Article

Takata, T 1992, 'Invariants of 3-Manifolds Associated with Quantum Groups and Verlinde's Formula', Publications of the Research Institute for Mathematical Sciences, vol. 28, no. 1, pp. 139-167. https://doi.org/10.2977/prims/1195168860
Takata T. Invariants of 3-Manifolds Associated with Quantum Groups and Verlinde's Formula. Publications of the Research Institute for Mathematical Sciences. 1992 Jan 1;28(1):139-167. https://doi.org/10.2977/prims/1195168860
Takata, Toshie. / Invariants of 3-Manifolds Associated with Quantum Groups and Verlinde's Formula. In: Publications of the Research Institute for Mathematical Sciences. 1992 ; Vol. 28, No. 1. pp. 139-167.
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