In contrast to other approaches to (2 + 1)-dimensional quantum gravity
, the Wheeler-DeWitt equation appears to be too complicated to solve e
xplicitly, even for simple spacetime topologies. Nevertheless, it is p
ossible to obtain a good deal of information about solutions and their
interpretation. In particular, strong evidence is presented that Whee
ler-DeWitt quantization is not equivalent to reduced phase space quant
ization.