Gevrey asymptotics of the perturbative U(N)-invariants of closed 3-manifolds

Stavros Garoufalidis, Georgia Tech

The universal perturbative invariant of a closed 3-manifold is a
graph-valued series, which becomes a formal power series in two
variables when we apply the U(N) weight system. We discuss the
convergence/divergence properties of this 2-variable power series, of
importance to M-theory.