Cluster Partition Function and Invariants of 3-Manifolds
نویسندگان
چکیده
We review some recent developments in Chern-Simons theory on a hyperbolic 3-manifold M with complex gauge group G. We focus on the case G = SL(N,C) and with M a knot complement. The main result presented in this note is the cluster partition function, a computational tool that uses cluster algebra techniques to evaluate the ChernSimons path integral. We also review various applications and open questions regarding the cluster partition function and some of its relation with string theory.
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تاریخ انتشار 2017