A topological quantum field theory construction on piecewise linear manifolds |
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Institution: | 1. Dipartimento di Matematica, Politecnico di Milano, Italy;2. Dipartimento di Matematica, Università di Pavia, Italy |
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Abstract: | The generalisation of the topological quantum field theory construction of Turaev and Viro to arbitrary dimension is presented, and it is shown that q-deformed spin-networks, or the recoupling theory of the quantum group Uqsl(2) provide a realisation of the initial data for the construction of 2-, 3- and 4-dimensional TQFTs. |
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