  We present a new method for constructing operators in loop quantum gravity.
The construction is an application of the general idea of "coherent state
quantization", which allows one to associate a unique quantum operator to every
function on a classical phase space. Using the heat kernel coherent states of
Hall and Thiemann, we show how to construct operators corresponding to
functions depending on holonomies and fluxes associated to a fixed graph. We
construct the coherent state versions of the fundamental holonomy and flux
operators, as well as the basic geometric operators of area, angle and volume.
Our calculations show that the corresponding canonical operators are recovered
from the coherent state operators in the limit of large spins.
