14 citations · 109 across the 30 of their papers we have counts for
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math.CO2010★ 4 cited
Moment-angle complexes and polyhedral products for convex polytopes
A. A. Ayzenberg, V. M. Buchstaber
Let P be a convex polytope not simple in general. In the focus of this paper lies a simplicial complex K_P which carries complete information about the combinatorial type of P. In…
math.CO2010★ 14 cited
The problem of Buchstaber number and its combinatorial aspects
Anton Ayzenberg
For any simplicial complex on m vertices a moment-angle complex Z_K embedded in C^m can be defined. There is a canonical action of a torus T^m on Z_K, but this action fails to be f…