Valentines bouquet, only mostly dead.

Its been 6 weeks now since valentines day. Two or three of the ten stems I put outside look green and leafless, and the rest shriveled. Of the indoor ten, most are still half-heartedly sprouting. Oddly, nothing has any discernible roots. So I don't know how they are managing to stay alive. I keep peering at their jars, but I just don't get it. No roots.