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

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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

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