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Hi Folks,

i'm looking for a reference on the 2-grothendieck construction for a functor $F:\mathcal{I}\to \mathcal{B}\mathrm{icat}$ from a bicategory $\mathcal{I}$ to the tricategory of bicategories. Actually for my purposes it would be sufficient to consider functors going only to $\mathcal{C}\mathrm{at}$.

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up vote 7 down vote accepted

I. Bakovic, Grothendieck construction for bicategories.

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Thank you; This is exactly the article i was looking for. –  Garlef Wegart Oct 1 '10 at 13:03
    
Quoted is a very old version of Igor's manuscript, from 2009 or so. Igor had written in the meantime several much longer and more detailed manuscripts on the subject; hopefully he will be soon happy enough with them to post to the arXiv. There are also available slides from his Cambridge talk on a related topic of fibrations within tricategories <dpmms.cam.ac.uk/~jg352/pdf/pssl93talks/PSSL93Bakovic.pdf>;. Igor this December gave a talk on the present state of the subject at Paris VII. –  Zoran Skoda Jan 7 '13 at 14:17
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