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Sep 15, 2011 at 16:39 comment added Martin Brandenburg Another nice source is "The stack of microlocal perverse sheaves" by Ingo Waschkies.
Sep 9, 2011 at 13:10 vote accept S. Carnahan
Sep 7, 2011 at 22:39 answer added Mike Shulman timeline score: 8
Sep 7, 2011 at 15:24 answer added user2490 timeline score: 4
Sep 7, 2011 at 15:03 comment added S. Carnahan Both of your suggestions are quite helpful! Thank you very much. Please change this to an answer.
Sep 7, 2011 at 14:22 comment added user2490 If you are content to consider diagrams indexed by 1-categories, you can find a simple construction in SGA 4 Expos\'e VI Section 6: Grothendieck construction applied to F (your "disjoint union") followed by inversion of Cartesian morphisms (your "quotient"). One thorough treatment of the general case (even with weights) is Thomas Fiore's "Pseudo limits, biadjoints, and pseudo algebras."
Sep 7, 2011 at 11:51 history asked S. Carnahan CC BY-SA 3.0