By using the Chern-Simons interpretation of three-dimensional gravity, it is possible to define a sum over the geometries of three-manifolds. This sum represents a topological invariant for closed, connected and orientable three-manifolds and coincides with the Turaev-Viro invariant. A surgery method for the computation of this invariant is described and illustrated by means of various examples.
Topological invariants and geometries of three-manifolds
GUADAGNINI, ENORE
1996-01-01
Abstract
By using the Chern-Simons interpretation of three-dimensional gravity, it is possible to define a sum over the geometries of three-manifolds. This sum represents a topological invariant for closed, connected and orientable three-manifolds and coincides with the Turaev-Viro invariant. A surgery method for the computation of this invariant is described and illustrated by means of various examples.File in questo prodotto:
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