Moduli of symplectic instanton vector bundles of higher rank on projective space P3

Symplectic instanton vector bundles on the projective space P3 constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space In,r of rank-2r symplectic instanton vector bundles on P3 with r ≥ 2 and second Chern class n ≥ r, n ≡ r(mod2). We give an explicit construction of an irreducible component In∗,r of this space for each such value of n and show that In∗,r has the expected dimension 4n(r + 1) − r(2r + 1). © 2012 Versita Warsaw and Springer-Verlag Wien.