19 citations · 26 across the 4 of their papers we have counts for
Showing math.ATShow all
3 papers · 1 filter
math.AT2012★ 1 cited
On almost free torus actions and Horrocks conjecture
Yury Ustinovsky
We construct a model for cohomology of a space equipped with a torus action, whose homotopy orbit space is formal. This model represents Koszul complex of its equiv…
math.AT2009★ 4 cited
Toral rank conjecture for moment-angle complexes
Yury Ustinovsky
We consider an operation K \to L(K) on the set of simplicial complexes, which we call the "doubling operation". This combinatorial operation has been recently brought into toric to…
math.AT2009★ 2 cited
Doubling operation for polytopes and torus actions
Yury Ustinovsky
In this note we give the definition of the "doubling operation" for simple polytopes, find the formula for the h-polynomial of new polytope.As an application of this operation we e…