00979nas a2200133   4500008004100000245010200041210006900143260001000212520051900222100001600741700002600757700002600783856003600809       2012                        en  d00aModuli of symplectic instanton vector bundles of higher rank on  projective space $\\mathbb{P}^3$0 aModuli of symplectic instanton vector bundles of higher rank on   bSISSA3 aSymplectic 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 $4n(r+1)-r(2r+1)$.1 aBruzzo, Ugo1 aMarkushevich, Dimitri1 aTikhomirov, Alexander  uhttp://hdl.handle.net/1963/4656