10 citations · 10 across the 1 of their papers we have counts for
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Resurgence of Chern-Simons theory at the trivial flat connection
Stavros Garoufalidis, Jie Gu, Marcos Marino +1
Some years ago, it was conjectured by the first author that the Chern-Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We desc…
1-loop equals torsion for fibered 3-manifolds
Nathan M. Dunfield, Stavros Garoufalidis, Seokbeom Yoon
In earlier work of two of the authors, two 1-loop polynomial invariants of cusped 3-manifolds were constructed using combinatorial data of ideal triangulations, and conjectured to…
Knots, Perturbative Series and Quantum Modularity
Stavros Garoufalidis, Don Zagier
We introduce an invariant of a hyperbolic knot which is a map from to matrices with entries in …
On the trace fields of hyperbolic Dehn fillings
Stavros Garoufalidis, BoGwang Jeon
Assuming Lehmer's conjecture, we estimate the degree of the trace field of a hyperbolic Dehn-filling of a 1-cusped hyperbolic 3-manifold by $$ \dfrac{1}{…
Super-representations of 3-manifolds and torsion polynomials
Stavros Garoufalidis, Seokbeom Yoon
Torsion polynomials connect the genus of a hyperbolic knot (a topological invariant) with the discrete faithful representation (a geometric invariant). Using a new combinatorial st…