The solution of the SU(2) quantum Chern-Simons field theory defined on a closed, connected and orientable three-manifold is presented. The vacuum expectation values of Wilson line operators, associated with framed links in a generic manifold, are computed in terms of the expectation values of the three-sphere. The method consists of using an operator realization of Dehn surgery. The rules, corresponding to the surgery instructions in the three-sphere, are derived and the three-manifold invariant defined by the Chern-Simons theory is constructed. Several examples are considered and explicit results are reported.
|Autori:||Guadagnini, Enore; Panicucci, S.|
|Titolo:||Topological field theory and surgery on three-manifolds|
|Anno del prodotto:||1992|
|Digital Object Identifier (DOI):||10.1016/0550-3213(92)90549-Q|
|Appare nelle tipologie:||1.1 Articolo in rivista|