From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/2012 Path: news.gmane.org!not-for-mail From: Anders Kock - Guest Newsgroups: gmane.science.mathematics.categories Subject: preprint: The stack quotient of a groupoid Date: Tue, 12 Jun 2001 22:31:45 +0200 (CEST) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241018281 1721 80.91.229.2 (29 Apr 2009 15:18:01 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:18:01 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Thu Jun 14 16:13:41 2001 -0300 Return-Path: Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.11.1/8.11.1) id f5EIhUS27135 for categories-list; Thu, 14 Jun 2001 15:43:30 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 23 Original-Lines: 21 Xref: news.gmane.org gmane.science.mathematics.categories:2012 Archived-At: Anders Kock; The stack quotient of a groupoid ia available at the address http://www.ml.kva.se/preprints/meta/KockMon_Jun_11_10_57_41.rdf.html Summary: Making explicit in which sense the stack of principal G-bundles is the quotient of the groupoid G. A main tool is an equivalence between descent data, and lift of the groupoid G into a groupoid in a fibration over G. Anders K. (Note: my permanent e-mail address is unchanged, kock@imf.au.dk)