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math.AT2023
Suspension splittings of 5-dimensional Poincaré duality complexes and their applications
Steven Amelotte, Tyrone Cutler, Tseleung So
Let be a connected, orientable, 5-dimensional Poincaré duality complex with torsion-free . We show that is homotopy equivalent to a wedge of recognisabl…
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…