Uses divisibility relations and discrete Morse theory to construct cellular resolutions of I^2 for square-free monomial ideals and obtain sharp bounds on projective dimension.
When are morse resolutions polyhedral? Available athttps://arxiv.org/abs/2505.08580
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Cellular resolutions of second powers of square-free monomial ideals with divisibility relations
Uses divisibility relations and discrete Morse theory to construct cellular resolutions of I^2 for square-free monomial ideals and obtain sharp bounds on projective dimension.