g} path-integral in the partition function is a priori a sum over possible Riemannian structures; however, quotienting with respect to Weyl transformations
40.749 H. Weyl, Z. Phys. 46, 1 (1927). doi:10.1007/BF02055756; H. Weyl, Gruppentheorie und Quantenmechanik (Leipzig: Hirzel) (1928); H. Weyl, The Theory