Turkish Journal of Mathematics
Abstract
For $G \in \left\{ \mathrm{GL}(n,\mathbb{C}) , \mathrm{SL}(n,\mathbb{C})\right\} ,$ 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.
DOI
10.55730/1300-0098.3169
Keywords
Reidemeister torsion, representation varieties, Atiyah-Bott-Goldman symplectic form, symplectic chain complex, hyperbolic 3-manifolds
First Page
1408
Last Page
1423
Recommended Citation
HEZENCİ, F, & SÖZEN, Y (2022). Representation variety of free or surface groups and Reidemeister torsion. Turkish Journal of Mathematics 46 (4): 1408-1423. https://doi.org/10.55730/1300-0098.3169
