Rational Betti numbers of toric diagram homotopy colimits are described via sheaf cohomology over CW posets, with Cohen-Macaulayness of the T-action equivalent to acyclicity of a sheaf.
ˇZivaljevi´ c,Homotopy colimits — comparison lemmas for combinatorial applications, J
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Rational cohomology of toric diagrams
Rational Betti numbers of toric diagram homotopy colimits are described via sheaf cohomology over CW posets, with Cohen-Macaulayness of the T-action equivalent to acyclicity of a sheaf.