Unfortunately many of the problems caused by antivirus software aren't easily attributable to it. Kaspersky is another trouble maker, often leading to high CPU usage and unusual network behaviour. I've always stuck to NOD32 and have had very few issue - certainly none of the false positives that have crippled the users of other antivirus software.
That said, Skyrim crashes plenty enough on its own. All the people that I've talked to have had crashes, some a lot more frequently than others. Still, it really is an incredible game. The dragons
are just incredible and often appear randomly, which makes for some memorable encounters.
"The price of freedom is eternal vigilance."