Timeline for Effect on homology of decorating vertices of a simplicial complex

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Jun 19, 2012 at 16:38	comment	added	Martin		It was hard to figure out which of the two answers to accept (both have really helpful information in them). I decided to accept the other one largely because it seems to be getting fewer upvotes, so I wanted to give the poster some additional credit :). Thank you very much for your help.
Jun 18, 2012 at 19:46	comment	added	Martin		This is actually pretty helpful. In particular, Corollary 6.3 of this paper gives what appears to be a complete description of the homology groups of $X[m]$ in terms of the homology groups of links in $X$ (with almost no assumptions on $X$!). It doesn't give the characters of the representations, but it still is nicer than I was even hoping for!
Jun 18, 2012 at 19:10	history	answered	rvf0068	CC BY-SA 3.0