State-sum invariants of 3-manifolds associated to Artinian semisimple tortile categories (Q1330405)
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scientific article; zbMATH DE number 609549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | State-sum invariants of 3-manifolds associated to Artinian semisimple tortile categories |
scientific article; zbMATH DE number 609549 |
Statements
State-sum invariants of 3-manifolds associated to Artinian semisimple tortile categories (English)
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7 March 1996
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The method of Turaev and Viro is generalized to construct state-sum invariants of 3-manifolds using an Artinian semisimple tortile category as initial data. Following Turaev and Viro, the author first constructs 3-manifold invariants and then handles the ``relative case'' to obtain TQFT's. In doing so, they isolate the analogies of the (classical or quantum) \(6j\)-symbols in any Artinian semisimple tortile category over an arbitrary field.
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topological quantum field theory
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monoidal category
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state-sum invariants of 3-manifolds
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Artinian semisimple tortile category
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\(6j\)-symbols
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