The "non" is basically the harder left; it incorporates traditional standard bearers such as the communists, the assorted trotskysts groups, and the "républicains" (sovereignists of the left led by Jean-Pierre Chevénement), but it also received the support of a good part of the socialist and green parties tempted by social utopia and a rejection of the market economy and free trade. Laurent Fabius, formerly associated with the right wing of the socialist party, has opportunistically embraced that camp and hopes to mobilise the left around him, starting from the left wing. The problem is that he will have to fight off other ambitious lefty socialists within the PS (socialist party), as well as the usual leaders of the hard left parties which are unlikely to give up their role without serious influence on the political platform.
The oui side, which can be described as the modernist wing of the PS (yes, my bias shows, I know) has clearly lost the electoral battle within the left during the referendum but still controls the apparatus of the party up to now. It has some decent electable candidates in Dominique Strauss-Kahn (former minister of the economy under Jospin in 1997-2001) or a couple others (the ever popular Jack Lang, Paris mayor Bertrand Delanoe - although the Olympics fiasco has dimmed his prospects, or slightly more lefty Martine Aubry. François Hollande, the uncharismatic party leader, and Lionel Jospin himself, could also be contenders.
There will be a congress in the autumn where the PS will decide which line to hold (Fabius vs Hollande, to simplify) and then there will be a year of jockeying for the various factions to push forward some candidate for the 2007 Presidential run.
I see several scenarios:
Seen from today, the race is really open, but again, it will take a lot of effort, discipline and self-restraint, not the most shared qualities, on both sides to avoid having Le Pen in the second round. In the long run, we're all dead. John Maynard Keynes