1-loop equals torsion for two-bridge knots
Motivated by the conjectured asymptotics of the Kashaev invariant, Dimofte and the first author introduced a power series associated to a suitable ideal triangulation of a cusped hyperbolic 3-manifold, proved that its constant (1-loop) term is a topological invariant and conjectured that it equals t...
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Zusammenfassung: | Motivated by the conjectured asymptotics of the Kashaev invariant, Dimofte
and the first author introduced a power series associated to a suitable ideal
triangulation of a cusped hyperbolic 3-manifold, proved that its constant
(1-loop) term is a topological invariant and conjectured that it equals to the
adjoint Reidemeister torsion. We prove this conjecture for hyperbolic 2-bridge
knots by combining the work of Ohtsuki--Takata with an explicit computation. |
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DOI: | 10.48550/arxiv.2411.03801 |