From: Prof T Porter <tporter@informatics.bangor.ac.uk>
To: Categories list <categories@mta.ca>
Subject: many object cobar constructions
Date: Fri, 08 Sep 2006 11:23:11 +0100 [thread overview]
Message-ID: <E1GLhY8-0003Td-Tl@mailserv.mta.ca> (raw)
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
reply other threads:[~2006-09-08 10:23 UTC|newest]
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