Holonomy Quantization of Moduli Spaces & Grothendieck Groups

Gelfand’s [1] charecterization of a topological space M by the duality relationship of M and A = F(M), the commutative algebra of functions on this space has deep implications including the development of spectral calculas by Connes [2].We investigate this scheme in this paper in the context of Monopole Moduli Space M using Seiberg-Witten Equations [3].A observation has been made here that the methods of holonomy quantization using graphs can be construed to construct a C* algebra corresponding to the loop space of the Moduli. A map is thereby conjectured with the corresponding projectors of the algebra with the moduli space. [email protected]