REVIEW 1 cited by
1-loop equals torsion for two-bridge knots
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
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.
Forward citations
Cited by 1 Pith paper
-
Adjoint Reidemeister torsion of 3-manifolds with torus boundary for semisimple algebraic groups
Adjoint Reidemeister torsion is defined for semisimple algebraic groups on 3-manifolds with torus boundary, and for hyperbolic manifolds it factors through principal PGL2 embeddings into products of known PGL2 torsions.
Discussion (0). Continue with ORCID to comment.