On the number of Vedernikov–Ein irreducible components of the moduli space of stable rank 2 bundles on the projective space

We propose a method for finding the exact number of Vedernikov–Ein irreducible components of the first and second types in the moduli space $M(0,n)$ of stable rank 2 bundles on the projective space $\mathbb P^3$ with Chern classes $c_1=0$ and $c_2=n\geq1$. We give formulas for the number of Vedernikov–Ein components and find a criterion for their existence for arbitrary $n\geq1$.