Torsion-freeness conjecture for the cohomology of affine Weyl toric arrangement complements
Let be an affine Weyl group, and let be the corresponding toric arrangement. Its complement is the space obtained by removing the arrangement from the associated torus. Torsion-freeness conjecture. The integer cohomology of this complement is torsion free; consequently, it coincides with the De Rham cohomology computed by De Concini and Procesi. The conjecture is stated as a generalization of the explicit computation for the toric arrangement, where the homology and cohomology are torsion free. Although the source says it will be proved in a future paper, the supplied status marks it as resolved.
References
Primary source
Luca Moci and Simona Settepanella, “The homotopy type of toric arrangements”, arXiv:1009.3622 (2010).
Additional references
2 papers in this index state this conjecture (2010). The statement above is taken from the most recent of them; the others are arXiv:1008.0631.
Progress summary
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Solutions 0
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