A calculus for branched spines of 3-manifolds (Q2571404)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A calculus for branched spines of 3-manifolds |
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A calculus for branched spines of 3-manifolds (English)
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2 November 2005
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Using Matveev-Piergallini moves and branched bubble-moves, the author introduces a calculus for branched spines of 3-manifolds. Such a branched spine is dual to a ``branched triangulation'' used in the definition of quantum invariants obtained as state-sums. Using these objects it is possible to construct so-called classical and quantum dilogarithmic invariants for 3-manifolds equipped with principal flat PSL\((2,\mathbb C)\)-bundles.
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branched spine
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state-sum invariant
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Matveev-Piergallini moves
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bubble-moves
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