For the past 25 years, the Geometrization Program of Thurston has been a driving force for
research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic …

We identify a large class R of three-dimensional N=2 superconformal field theories. This
class includes the effective theories T_M of M5-branes wrapped on 3-manifolds M …

A bstract We present a review of the symbol map, a mathematical tool introduced by
Goncharov and used by him and collaborators in the context of\(\mathcal {N}\)= 4 SYM for …

We develop several methods that allow us to compute all-loop partition functions in
perturbative Chern-Simons theory with complex gauge group G_C, sometimes in multiple …

We define an extended Bloch group and show it is naturally isomorphic to H 3 (PSL (2, ℂ) δ;
ℤ). Using the Rogers dilogarithm function this leads to an exact simplicial formula for the …

Knot invariants and non-perturbative topological recursion Page 1 Quantum Topol. 6 (2015),
39–138 DOI 10.4171/QT/60 Quantum Topology © European Mathematical Society All order …

We introduce and study the partition function Zγ (M) for the cusped hyperbolic 3-manifold M.
We construct formally this partition function based on an oriented ideal triangulation of M by …

Snap is a computer program for computing arithmetic invariants of hyperbolic 3-manifolds,
built on Jeff Weeks's SnapPea and the number theory package Pari. Its approach is to …

Mahler’s Measure and the Dilogarithm (I) Page 1 Canad. J. Math. Vol. 54 (3), 2002 pp. 468–492
Mahler’s Measure and the Dilogarithm (I) David W. Boyd and Fernando Rodriguez-Villegas …

These lecture notes are based on a series of lectures given at the Nankai Institute of
Mathematics in the fall of 1998. They provide an overview of the work of the author and the …