Subject: Re: two postings
From: jim stasheff
Date: Mon, 03 Apr 2006 16:34:03 -0400
A related problem is considered by Sullivan and by Fukaya
Consider the transversely intersecting pairs in C\otimes C
This shoudl give rise by general principles to an A_\infty alg
for which there is a minimal model
but i don't know how effective this can be
jim
>
> Subject: A question about minimal model
> From: ssp@pdmi.ras.ru
> Date: Mon, 3 Apr 2006 20:09:51 +0400 (MSD)
>
> Is it possible to compute the minimal model (in the sense of Sullivan)
> of a closed oriented manifold geometrically, using geometric chains
> (in any sense) instead of differential forms - and the intersection
> pairing? The difficulty is that chains do not form an algebra, because
> the intersection of two chains is well defined only if they are
> in general position. Massey triple products may be computed
geometrically
> (just choose everything generically), but this is not enough to
construct
> the minimal model.
>