A remark on Schottky representations and Reidemeister torsion Шоттки көрсетiлiмi мен Рейдмейстер бұралуы жайында ескерту Замечание о представлениях Шоттки и кручении Рейдемейстера

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Hezenci F., SÖZEN Y.

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.