2016/03/03 by Matthias Blau, Blau, Matthias, G.E. Thompson +1
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Geometric and Algebraic Topology #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.1603.01149
We consider Chern-Simons theory with complex gauge group and present a complete non-perturbative evaluation of the path integral (the partition function and certain expectation values of Wilson loops) on Seifert fibred 3-Manifolds. We use the method of Abelianisation. In certain cases the path integral can be seen to factorize neatly into holomorphic and anti-holomorphic parts. We obtain closed formulae of this factorization for the expectation values of torus knots.