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Chern–Simons theory on a general Seifert $3$-manifold

Chern–Simons theory on a general Seifert $3$-manifold

The path integral for the partition function of Chern–Simons gauge theory with a compact gauge group is evaluated on a general Seifert $3$-manifold. This extends previous results and relies on abelianisation, a background field method and local application of the Kawasaki Index theorem.