Abstract
We generalize the framework introduced by Kapustin et al. for doing path
integral localization in Chern-Simons theory to work on any Seifert manifold.
This is done by topologically twisting the supersymmetric theory considered by
Kapustin et al., after which the theory takes a cohomological form. We also
consider Wilson loops which wrap the fiber directions and compute their
expectation values. We discuss the relation with other approaches to exact path
integral calculations in Chern-Simons theory.
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