I bought a new MBA a month ago and hooked it up to my LG IPS monitor via HDMI and the quality sucked. I think the monitor does some kind of filtering on the HDMI input because it looked kind of fuzzy like I was looking at a bad tube monitor.
I switched to the Apple DVI connector and a DVI cable from Monoprice. Looks awesome now.
Monoprice is great! I bought a DVI switch and 2 DVI cables from them. You really need to look closely at the cables though. I wasn't paying attention and just ordered the first cable on the list and ended up with an industrial monster that could be used as a weapon. The cable is so thick that it was difficult to use it without knocking things over. The two 3' cables together weighed more than my MBA
. Get the thinner cable. Much easier to use!
Monoprice quality is the best and the price is the icing on the cake.