Instanton sheaves on complex projective spaces

Abstract

We study a class of torsion-free sheaves on complex projective spaces which generalize the much studied mathematical instanton bundles. Instanton sheaves can be obtained as cohomologies of linear monads and are shown to be semistable if its rank is not too large, while semistable torsion-free sheaves satisfying certain cohomological conditions are instanton. We also study a few examples of moduli spaces of instanton sheaves.

31 pages. V2: Completely reformulated, errors corrected. V3: misprints corrected, few remarks added. V4: more misprints corrected, few remarks added.V5: final version to be published at Collectanea Mathematica

References in corpus (1)

• Complex ADHM equations, sheaves on P^3 and quantum instantons

Cited by in corpus (9)

• Two infinite series of moduli spaces of rank 2 sheaves on ${\mathbb{P}}^3$
• Moduli spaces of rank 2 instanton sheaves on the projective space
• New moduli components of rank 2 bundles on projective space
• Moduli spaces of framed instanton sheaves on projective spaces
• Stable bundles on 3-fold hypersurfaces
• On the fixed locus of framed instanton sheaves on ${\mathbb{P}}^3$
• Instanton sheaves and representations of quivers
• Moduli spaces of framed instanton bundles on CP^3 and twistor sections of moduli spaces of instantons on C^2
• Representing stable complexes on projective spaces