Restricted (2+1)-TQFTs are defined on thickened and solid tori and are shown to separate certain torus bundles and lens spaces that Turaev-Viro and Reshetikhin-Turaev invariants do not.
On mapping class groups and their TQFT representations
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abstract
The aim of this paper is to survey some aspects of mapping class groups with focus on their finite dimensional representations arising in topological quantum field theory.
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Restricted (2+1)-TQFTs supported by thickened and solid tori
Restricted (2+1)-TQFTs are defined on thickened and solid tori and are shown to separate certain torus bundles and lens spaces that Turaev-Viro and Reshetikhin-Turaev invariants do not.