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- W4226358940 abstract "For a 3-manifold $M$ and an acyclic $mathit{SL}(2,mathbb{C})$-representation $rho$ of its fundamental group, the $mathit{SL}(2,mathbb{C})$-Reidemeister torsion $tau_rho(M) in mathbb{C}^times$ is defined. If there are only finitely many conjugacy classes of irreducible representations, then the Reidemeister torsions are known to be algebraic numbers. Furthermore, we prove that the Reidemeister torsions are not only algebraic numbers but also algebraic integers for most Seifert fibered spaces and infinitely many hyperbolic 3-manifolds. Also, for a knot exterior $E(K)$, we discuss the behavior of $tau_rho(E(K))$ when the restriction of $rho$ to the boundary torus is fixed." @default.
- W4226358940 created "2022-05-05" @default.
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- W4226358940 date "2022-01-04" @default.
- W4226358940 modified "2023-09-24" @default.
- W4226358940 title "An algebraic property of Reidemeister torsion" @default.
- W4226358940 doi "https://doi.org/10.48550/arxiv.2201.01400" @default.
- W4226358940 hasPublicationYear "2022" @default.
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