A model of quantum gravity (affine quantum gravity
) is proposed in which canonical commutation relations are interchanged on affine commutation relations
are the operators connected with gravity (metric). A primary set of the normalized affine coherent states
is defined by
. On the basis of these definitions a path integral construction for quantum gravity is given. The choice of a metric on the classical phase space is discussed. A set of conventional local annihilation and creation operators
are introduced and local metric and scale operators defined with help of these
operators the local product for the gravitational field operators are deduced. In the last section the imposition of constraints is discussed. It is necessary to note that this model of quantum gravity does not engender topological changes of the underlying topological space.