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arxiv: 1001.4645 · v1 · submitted 2010-01-26 · ✦ hep-th

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Functional integration and abelian link invariants

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classification ✦ hep-th
keywords fieldtheoryabelianchern-simonsfunctionalinvariantsapproachassociated
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The functional integral computation of the various topological invariants, which are associated with the Chern-Simons field theory, is considered. The standard perturbative setting in quantum field theory is rewieved and new developments in the path-integral approach, based on the Deligne-Beilinson cohomology, are described in the case of the abelian U(1) Chern-Simons field theory formulated in S^1 x S^2.

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