Is there much known about the theory of lax and colax monads on a bicategory? Here, I really mean lax or colax, not weak. I'm aware of some literature about weak monads. I'm interested in distributive laws of lax and colax monads and their relationships with algebras. I've managed to prove some things, but, I don't want to reinvent the wheel.

-

-
Thanks! It will take some checking to see if what I am getting lines up with this machinery, but, I hope it does. Do you have some good references? I'm not sure where to start. – David Carchedi Apr 8 '10 at 14:00
Yes, it seems my bicategories are double categories in disguise. I'm working through some of the details. Thanks a lot! – David Carchedi Apr 13 '10 at 17:16