  A new q-deformation of the Euclidean EPRL/FK vertex amplitude is proposed by
using the evaluation of the Vassiliev invariant associated with a 4-simplex
graph (related to two copies of quantum SU(2) group at different roots of
unity) embedded in a 3-sphere. We show that the large-j asymptotics of the
q-deformed vertex amplitude gives the Regge action with a cosmological
constant. In the end we also discuss its relation with a Chern-Simons theory on
the boundary of 4-simplex.
