Cohomology operations for moment-angle complexes and resolutions of Stanley–Reisner rings
Steven Amelotte,
Benjamin Briggs
Abstract:A fundamental result in toric topology identifies the cohomology ring of the moment-angle complex
Z
K
\mathcal {Z}_K
associated to a simplicial complex
K
K
with the Koszul homology of the Stanley–Reisner ring of
K
K
. By studying cohomology operations induced by the standard torus action on the moment-angle complex, we extend this to a topological interpretation of the minimal free resolution of the Stanley–Reisner ring. The… Show more
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