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math.AT2023
Cohomology operations for moment-angle complexes and resolutions of Stanley-Reisner rings
Steven Amelotte, Benjamin Briggs
A fundamental result in toric topology identifies the cohomology ring of the moment-angle complex associated to a simplicial complex with the Koszul homology of…
math.AT2022
Product decompositions of moment-angle manifolds and -rigidity
Steven Amelotte, Benjamin Briggs
A simple polytope is called -rigid if its combinatorial type is determined by the cohomology ring of the moment-angle manifold over . We show that any ten…