The dilogarithm function, defined in the first sentence of Chapter I, is a function which has
been known for more than 250 years, but which for a long time was familiar only to a few …

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 study closed bosonic strings propagating both in a flat background with constant H-flux
and in its T-dual configurations. We define a conformal field theory capturing linear effects in …

We introduce an invariant of a hyperbolic knot which is a map $\alpha\mapsto\boldsymbol
{\Phi} _\alpha (h) $ from $\mathbb {Q}/\mathbb {Z} $ to matrices with entries in $\overline …

We construct from first principles the operators ̂A_M that annihilate the partition functions
(or wavefunctions) of three-dimensional Chern-Simons theory with gauge groups SU(2) …

The gluing equations of a cusped hyperbolic 3–manifold M are a system of polynomial
equations in the shapes of an ideal triangulation T of M that describe the complete …

We argue that rational conformally invariant quantum field theories in two dimensions are
closely related to torsion elements of the algebraic K-theory group K 3 (C). If such a field …

For a compact 3-manifold M with arbitrary (possibly empty) boundary, we give a
parameterization of the set of conjugacy classes of boundary-unipotent representations of π …

When V. Jones introduced his celebrated polynomial invariant, the Jones polynomial, in
1985, very few relations to topology were known. It originally came from operator algebra …

A bstract When formulated in twistor space, the D-instanton corrected hypermultiplet moduli
space in\(\mathcal {N}={2}\) string vacua and the Coulomb branch of rigid\(\mathcal {N}={2}\) …