Torus fixed points of moduli spaces of stable bundles of rank three
arXiv:0903.0723
Abstract
By a result of Klyachko the Euler characteristic of moduli spaces of stable bundles of rank two on the projective plane is determined. Using similar methods we extend this result to bundles of rank three. The fixed point components correspond to moduli spaces of the subspace quiver. Moreover, the stability condition is given by a certain system of linear inequalities so that the generating function of the Euler characteristic can be determined explicitly.
37 pages, proof of 2.9 completed, added references, some statements clearified, corrected result in 4.3 which was just correct up to the factor 2