231 citations · 723 across the 40 of their papers we have counts for
4 papers · 1 filter
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…
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 and…
Asymptotics of Nahm sums at roots of unity
Stavros Garoufalidis, Don Zagier
We give a formula for the radial asymptotics to all orders of the special -hypergeometric series known as Nahm sums at complex roots of unity. This result is used in~\cite{CGZ}…