Subject: Still about cubical cohomology reference
From: Kevin Iga <kiga@pepperdine.edu>
Date: Thu, 28 Jun 2007 00:32:01 -0700

Thank you for all the people who responded.  I am looking up some of these 
references now, but as I have gone through some of them, I should clarify 
what I am looking for.  For instance, I checked out Serre's thesis but 
unfortunately it's not what I need.  His cubical cohomology is a variant 
of SINGULAR cohomology, not SIMPLICIAL cohomology.  For Serre, chains are 
generated by maps from a standard cube into the space (a sort of singular 
cubical homology results).  What I need is a notion of a cubical complex 
(by analogy to a simplicial complex), where the chains are generated by 
the cells of the complex.  This is more combinatorial, and the chain 
groups are finite dimensional.  In my case, I have a polytope made up of 
cubes and I am actually working on the cochain level explicitly (this 
turns out to classify certain aspects of representations of a certain Lie 
superalgebra).

As I have not finished looking through everyone's suggested references, it 
may be that some of them may be what I need.  But since many 
misinterpreted my request, I thought I'd clarify.

Kevin Iga