Exact results for perturbative Chern-Simons theory with complex gauge group.

@article{Dimofte2009ExactRF,
  title={Exact results for perturbative Chern-Simons theory with complex gauge group.},
  author={Tudor Dan Dimofte and Sergei Gukov and Jonatan Lenells and Don Zagier},
  journal={Communications in Number Theory and Physics},
  year={2009},
  volume={3},
  pages={363-443}
}
We develop several methods that allow us to compute all-loop partition functions in perturbative Chern-Simons theory with complex gauge group G_C, sometimes in multiple ways. In the background of a non-abelian irreducible flat connection, perturbative G_C invariants turn out to be interesting topological invariants, which are very different from finite type (Vassiliev) invariants obtained in a theory with compact gauge group G. We explore various aspects of these invariants and present an… Expand

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