A remark on Schottky representations and Reidemeister torsion Шоттки көрсетiлiмi мен Рейдмейстер бұралуы жайында ескерту Замечание о представлениях Шоттки и кручении Рейдемейстера
Bulletin of the Karaganda University. Mathematics Series, vol.109, no.1, pp.81-93, 2023 (Scopus)
- Publication Type: Article / Article
- Volume: 109 Issue: 1
- Publication Date: 2023
- Doi Number: 10.31489/2023m1/81-93
- Journal Name: Bulletin of the Karaganda University. Mathematics Series
- Journal Indexes: Scopus
- Page Numbers: pp.81-93
- Keywords: Schottky representations, Reidemeister torsion, representation varieties, Atiyah-Bott-Goldman symplectic form, Thurston symplectic form
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
Abstract
The present paper establishes a formula of Reidemeister torsion for Schottky representations. The theoretical results are applied to 3−manifolds with boundary consisting orientable surfaces with genus at least 2.