We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-
dimensional N= 2 N= 2 gauge theories. Under this duality, standard operations on …

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 decompose sphere partition functions and indices of three-
dimensional\(\mathcal {N}\)= 2 gauge theories into a sum of products involving a universal …

We study three-dimensional Chern-Simons theory with complex gauge group SL (2, ℂ),
which has many interesting connections with three-dimensional quantum gravity and …

In this article we shall give an account of certain developments in knot theory which followed
upon the discovery of the Jones polynomial [Jo3] in 1984. The focus of our account will be …

This paper reviews the two variable polynomial invariant of knots defined using
representations of the fundamental group of the knot complement into. The slopes of the …

The physical 3d ND 2 theory T ŒY was previously used to predict the existence of some 3-
manifold invariants yZa. q/that take the form of power series with integer coefficients …

The colored Jones function of a knot is a sequence of Laurent polynomials in one variable,
whose nth term is the Jones polynomial of the knot colored with the n–dimensional …

Over the last fifteen years, the face of knot theory has changed due to various new theories
and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to …