Symplectic small deformations of special instanton bundle on ℙ2n+1

Abstract

Let \(MI_{Simp,P^{2n + 1} } (k)\) be the moduli space of stable symplectic instanton bundles on ℙ2n+1 with second Chern class c2=k (it is a closed subscheme of the moduli space\(MI_{P^{2n + 1} } (k)\)).We prove that the dimension of its Zariski tangent space at a special (symplectic) instanton bundle is 2k(5n−1)+4n2−10n+3, k⩾2.