I can not find an existing thread on this line, so I'm starting a new one.

Michael Goeller (who I've also seen around on these forums) has recently posted a lot of analysis on the 1.e4 e6 2.d4 d5 3.exd5 exd5 4.c4 variation on his website -- see http://www.kenilworthchessclub.org/games/java/2009/fr-ex-c4.htm .

One idea is the pawn sacrifice 1.e4 e6 2.d4 d5 3.exd5 exd5 4.c4 Bb4+ 5.Nc3 Ne7 6.Nf3 Nbc6 7.a3! Bxc3+ 8.bxc3 0-0 9.Bd3 dxc4 10.Bxc4 Nd5 11.0-0! (annotations Goeller's).

This 4.c4 variation is interesting to me because it seems so different from the rest of the French, and because I'm studying IQP positions (working through Baburin). However, as far as I know its reputation is "easy equality for black".

What sort of lines are most common by black around the +- 2000-2200 level? What do French repertoire books recommend?