From one of the comments here I see that the Bogdanovs have put the reports on their theses on the CERN document server. One should perhaps take these with a grain of salt given their source. For instance, I wouldn’t be surprised if some reports were missing.
I’ve always had some sympathy for the people who ended up on the Bogdanov’s thesis committees. It’s a difficult position to be in when you have to decide what to do with students who seem to be enthusiastic and have worked hard, but are very weak and have completed not very good theses. A not unreasonable thing to do under the circumstances is to do one’s best to find something of value in their work, and leave the job of keeping nonsense out of the literature to journal referees.
But the Bogdanov theses, especially Igor’s, were so full of egregious nonsense, in particular with respect to topological quantum field theory, that they should have been beyond the pale. While some of these reviewers were string theorists, others weren’t, so the whole mess can’t be blamed on string theory.