# Gauge Theories Labelled by Three-Manifolds

@article{Dimofte2011GaugeTL, title={Gauge Theories Labelled by Three-Manifolds}, author={Tudor Dan Dimofte and Davide Gaiotto and Sergei Gukov}, journal={Communications in Mathematical Physics}, year={2011}, volume={325}, pages={367-419} }

We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional $${\mathcal{N} = 2}$$N=2 gauge theories. Under this duality, standard operations on triangulated 3-manifolds and various invariants thereof (classical as well as quantum) find a natural interpretation in field theory. For example, independence of the SL(2) Chern-Simons partition function on the choice of triangulation translates to a statement that $${S^{3}_{b}}$$Sb3 partition functions of two…

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