From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/3422 Path: news.gmane.org!not-for-mail From: Prof T Porter Newsgroups: gmane.science.mathematics.categories Subject: many object cobar constructions Date: Fri, 08 Sep 2006 11:23:11 +0100 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241019294 8662 80.91.229.2 (29 Apr 2009 15:34:54 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:34:54 +0000 (UTC) To: Categories list Original-X-From: rrosebru@mta.ca Fri Sep 8 11:49:33 2006 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Fri, 08 Sep 2006 11:49:33 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1GLhY8-0003Td-Tl for categories-list@mta.ca; Fri, 08 Sep 2006 11:41:45 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 12 Original-Lines: 22 Xref: news.gmane.org gmane.science.mathematics.categories:3422 Archived-At: Dear All, I have been trying to compare the simplicially enriched category/Segal-category approach to weak categories and the dg-category/$A_\infty$-category approach coming from derived categories etc. It is clear that there is a cobar construction leading from a dg-cocategory to a dg-category and results on twisting cochains also go across with no difficulty. I am therefore surprised that I cannot find an explicit reference for this in the literature (probably I have not loked in the right place as it is in an `overlap' area!). Can anyone help with some good references? Also has anyone given a good interpretation of the twisting cochains and the twisted tensor of modules in this setting. I know of the usual interpretations. Perhaps someone who knows the string theoretic links may have an idea. Thanks, Tim Porter