Irreducibility of the moduli space of mathematical instantons with even c_2 on projective space

The problem of the irreducibility of the moduli space I_n of rank-2
mathematical instanton vector bundles with c_2=n was recently solved
affirmatively by the speaker for odd n. (This result is published in
Izvestija RAN: Ser. Mat. 76:5 (2012), 143–224.) In this talk we give
the proof of the irreducibility of the space I_n for even n.