142 citations · 1.3k across the 117 of their papers we have counts for
134 papers
Quantum dilogarithms over local fields and invariants of 3-manifolds
Stavros Garoufalidis, Rinat Kashaev
To each local field (including the real or complex numbers) we associate a quantum dilogarithm and show that it satisfies a pentagon identity and some symmetries. Using an angled v…
Hyperbolic 3-manifolds, the Bloch group, and the work of Walter Neumann
Stavros Garoufalidis, Don Zagier
This is an article about the work of Walter Neumann on hyperbolic geometry, ideal triangulations of 3-manifolds, the volume and Chern-Simons invariants of 3-manifolds and their ele…
Knots and Their Related -Series
Stavros Garoufalidis, Don Zagier
We discuss a matrix of periodic holomorphic functions in the upper and lower half-plane which can be obtained from a factorization of an Andersen-Kashaev state integral of a knot c…
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…
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…
The descendants of the 3d-index
Zhihao Duan, Stavros Garoufalidis, Jie Gu
In the study of 3d-3d correspondence occurs a natural -Weyl algebra associated to an ideal triangulation of a 3-manifold with torus boundary components, and a module of it. We s…