ADHM construction of perverse instanton sheaves

Abstract

We present a construction of framed torsion free instanton sheaves on a projective variety containing a fixed line which further generalizes the one on projective spaces. This is done by generalizing the so called ADHM variety. We show that the moduli space of such objects is a quasi projective variety, which is fine in the case of projective spaces. We also give an ADHM categorical description of perverse instanton sheaves in the general case, along with a hypercohomological characterization of these sheaves in the particular case of projective spaces.

33 pages

References in corpus (3)

• Monads for framed torsion-free sheaves on multi-blow-ups of the projective plane
• Moduli spaces of framed perverse instantons on P^3
• The ADHM Variety and Perverse Coherent Sheaves

Cited by in corpus (8)

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• Instanton sheaves and representations of quivers
• On the fixed locus of framed instanton sheaves on ${\mathbb{P}}^3$
• Moduli of autodual instanton bundles
• Torsion free instanton sheaves on the blow-up of ${\mathbb{P}}^n$ at a point