Subject: response to question
Date: Fri, 25 Oct 2002 09:42:00 +0100
From: Dr Andrew Baker <a.baker@maths.gla.ac.uk>
To: Don Davis <dmd1@lehigh.edu>
CC: stasheff@email.unc.edu, Sergei Merkulov <sm@maths.gla.ac.uk>

I asked my colleague Sergei Merkulov about Jim's question- here is his answer.

Andy

> > The answer to the question is obvious:
> > the homotopy (=derived) category of such modules
> > is equivalent to the category of bundles over
> > formal dg manifolds (M,\eth) equipped with flat
> > \eth-connections, where \eth is the homological vector field on M.
> >
> > Best, Sergei.

> > >
> > > >Subject: CMCs
> > > >Date: Tue, 22 Oct 2002 09:50:34 -0400
> > >
> > > From: jim stasheff <stasheff@email.unc.edu>
> > >
> > > >I have a vague recollection the following has been worked out already:
> > > >the closed model category of L_\infinty modules over a fixxed L_\infty
> > > >algebra
> > > >oand/or the corresponding A_\infty vrsion
> > > >
> > > >references?  thanks
> > > >
> > > >jim

--
Dr Andrew Baker (Reader in Mathematics)
Department of Mathematics
University of Glasgow
Glasgow G12 8QW