Sl2(c)-character Variety of a Hyperbolic Link and Regulator
نویسنده
چکیده
In this paper, we study the SL2(C) character variety of a hyperbolic link in S. We analyze a special smooth projective variety Y h arising from some 1-dimensional irreducible slices on the character variety. We prove that a natural symbol obtained from these 1-dimensional slices is a torsion in K2(C(Y )). By using the regulator map from K2 to the corresponding Deligne cohomology, we get some variation formulae on some Zariski open subset of Y . From this we give some discussions on a possible parametrized volume conjecture for both hyperbolic links and knots.
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