Integral coformality conjecture for flag moment-angle complexes

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Let K\mathcal{K} be a flag simplicial complex. The spaces DJ(K)\mathrm{DJ}(\mathcal{K}) and ZK\mathcal{Z}_\mathcal{K} are defined by the Davis–Januszkiewicz and moment-angle constructions, respectively. Integral coformality conjecture. The spaces DJ(K)\mathrm{DJ}(\mathcal{K}) and ZK\mathcal{Z}_\mathcal{K} are coformal over every commutative ring with unit. The conjecture is motivated by the collapse of the Milnor–Moore spectral sequence in the flag case and extends the stated rational coformality result for flag complexes. Its resolution is not given in the supplied text.

References

Primary source

Fedor Vylegzhanin, “Loop homology of moment-angle complexes in the flag case”, arXiv:2403.18450 (2025).

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