  The quantization of gauge-affine gravity within the superfiber bundle
formalism is proposed. By introducing an even pseudotensorial 1-superform over
a principal superfibre bundle with superconnection, we obtain the geometrical
Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST transformations of the fields
occurring in such a theory. Reducing the four-dimensional general affine group
double-covering to the Poincare group double-covering we also find the BRST and
anti-BRST transformations of the fields present in Einstein's gravity.
Furthermore, we give a prescription leading to the construction of both
BRST-invariant gauge-fixing action for gauge-affine gravity and Einstein's
gravity.
