Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3169
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.
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, FATİH and SÖZEN, YAŞAR
(2022)
"Representation variety of free or surface groups and Reidemeister torsion,"
Turkish Journal of Mathematics: Vol. 46:
No.
4, Article 22.
https://doi.org/10.55730/1300-0098.3169
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss4/22
