Fatih HEZENCİ, Yaşar SÖZEN

Representation variety of free or surface groups and Reidemeister torsion

For G ∈ {GL(n, mathbb{C}), SL(n, mathbb{C})} , we consider G−valued representations of free or surface group with genus > 1. We establish a formula for computing Reidemeister torsion of such representations in terms of Atiyah-Bott-Goldman symplectic form for G. Furthermore, we apply the obtained results to hyperbolic 3-manifolds.

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