noncommutative geometry@n – the trade contains applications to the material developed in volume 1 - the tools to moduli spaces, quiver varieties and singularities. It details the representation theory of Cayley-smooth and Quillen-smooth algebras by studying the geometry of the quotient varieties and relating the Hesselink stratification of their nullcones to moduli spaces of quiver-representations. Further, it explains by examples the theory of noncommutative differential forms leading to the application of the necklace Lie algebra to coadjoint orbit results.
This is a two-year old preliminary version. An extended, updated and corrected version will appear in the fall of 2007 with Chapman&Hall. Use this version only for private use.
