Abstract:Toric topology assigns to each n-dimensional combinatorial simple convex polytope P with m facets an (m+n)-dimensional moment-angle manifold Z P with an action of a compact torus T m such that Z P /T m is a convex polytope of combinatorial type P . A simple n-polytope is called B-rigid, if any isomorphism of graded rings H * (Z P , Z) = H * (Z Q , Z) for a simple n-polytope Q implies that P and Q are combinatorially equivalent. An ideal almost Pogorelov polytope is a combinatorial 3-polytope obtained by cuttin… Show more
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