Three-manifold invariants and their relation with the fundamental group
نویسندگان
چکیده
We consider the 3-manifold invariant I(M) which is defined by means of the Chern-Simons quantum field theory and which coincides with the Reshetikhin-Turaev invariant. We present some arguments and numerical results supporting the conjecture that, for nonvanishing I(M) , the absolute value | I(M) | only depends on the fundamental group π1(M) of the manifold M . For lens spaces, the conjecture is proved when the gauge group is SU(2) . In the case in which the gauge group is SU(3) , we present numerical computations confirming the conjecture.
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