Instanton Bundles on the Blowup of the Projective 3-Space at a Point

We propose a general definition of mathematical instanton bundle with given charge on any Fano threefold extending the classical definitions on P3 and on Fano threefold with cyclic Picard group. Then we deal with the case of the blowup of P3 at a point, giving an explicit construction of instanton bundles satisfying some important extra properties. Moreover, we show that they correspond to smooth points of a component of the moduli space