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Apr 5, 2014 at 19:00 vote accept Ma Ming
Apr 4, 2014 at 15:59 comment added Gerrit Begher My intuition is that your intuition is right - depending on the grothendieck construction used you'd end up with lax/colax variants of a 2-coend. I'll have to think about this a bit: There's actually two grothendieck constructions for such distributors: mathoverflow.net/questions/128393/…
Apr 3, 2014 at 10:34 comment added Ma Ming Thanks a lot. By the way, I have a vague feeling that the 2-coend decried here mathoverflow.net/questions/106358/… might be the (truncated) diagonal part of the Grothendieck construction for $A^{op}\times A\to Cat$.
Apr 3, 2014 at 1:14 history answered Finn Lawler CC BY-SA 3.0