Torus fixed points of moduli spaces of stable bundles of rank three

Details Torus fixed points of moduli spaces of stable bundles of rank three Torus fixed points of moduli spaces of stable bundles of rank three

2009-03-04

arxiv.org/abs/0903.0723v2

Mathematics

Algebraic Geometry

37 pages, proof of 2.9 completed, added references, some statements clearified, corrected result in 4.3 which was just correct

Scientific paper

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.

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