%0 Journal Article
%T Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$
%A Ugo Bruzzo
%A D. Markushevich
%A A. S. Tikhomirov
%J Mathematics
%D 2011
%I arXiv
%X Symplectic instanton vector bundles on the projective space $\mathbb{P}^3$ constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space $I_{n,r}$ of rank-$2r$ symplectic instanton vector bundles on $\mathbb{P}^3$ with $r\ge2$ and second Chern class $n\ge r,\ n\equiv r({\rm mod}2)$. We give an explicit construction of an irreducible component $I^*_{n,r}$ of this space for each such value of $n$ and show that $I^*_{n,r}$ has the expected dimension $4n(r+1)-r(2r+1)$.
%U http://arxiv.org/abs/1109.2292v1