The torsion-freeness conjecture for lbo homology

Let XX be a shelf, and let Hlbo(X)H_*^{\mathrm{lbo}}(X) denote its lbo homology groups. Torsion-freeness conjecture. There is no torsion in Hlbo(X)H_*^{\mathrm{lbo}}(X). The conjecture is suggested by the limited computational data discussed for lbo homology; no proof or counterexample is given in the source.

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Primary source

Sujoy Mukherjee, “A Homology Theory For A Special Family Of Semi-groups”, arXiv:1611.05555 (2016).

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