Moduli spaces of framed instanton sheaves on projective spaces

Details Moduli spaces of framed instanton sheaves on projective spaces Moduli spaces of framed instanton sheaves on projective spaces

2008-01-16

arxiv.org/abs/0801.2550v3

Mathematics

Algebraic Geometry

This paper has been withdraw. Even though the mais results are correct, some of the secondary claims are false. A fully revise

Scientific paper

We introduce a generalization of the Atiyah-Drinfeld-Hitchin-Manin linear algebraic data and a generalization of Atiyah-Drinfeld-Hitchin-Manin equation, which are subsequently used to construct all framed instanton bundles on complex projective spaces. Using geometric invariant theory, we prove that the moduli spaces of framed instanton sheaves is a quasi-projective variety. We also provide a link between the generalized ADHM data introduced here and certain representations of quivers, and introduce the notion of perverse instanton sheaves.

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