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Regular version of the site

Article

Moduli of symplectic instanton vector bundles of higher rank on projective space $\mathbb{P}^3$

Central European Journal of Mathematics. 2012. Vol. 10. No. 4. P. 1232-1245.
Tikhomirov A. S., Bruzzo U., Markushevich D.

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 $n\ge r, n\equiv r(\mod 2)$. We introduce the notion of tame symplectic instantons by excluding a kind of pathological monads and show that the locus $I_{n;r}^*$ of tame symplectic instantons is irreducible and has the expected dimension, equal to $4n(r+1)-r(2r+1)$.