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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 $\mathcal{C}\mathrm{at}$.

edited Oct 1 2010 at 14:21

Charles Rezk
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asked Oct 1 2010 at 8:10

Garlef Wegart
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David Corfield · Accepted Answer · 2010-10-01 09:39:31Z UTC

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I. Bakovic, Grothendieck construction for bicategories.

answered Oct 1 2010 at 9:39

David Corfield
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	Thank you; This is exactly the article i was looking for. – Garlef Wegart Oct 1 2010 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/…;. Igor this December gave a talk on the present state of the subject at Paris VII. – Zoran Škoda Jan 7 at 14:17

Reference request: 2-Grothendieck Construction

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