Positive grading is unnecessary for the bimodule 3-Calabi–Yau conclusion
Positive grading is unnecessary for the bimodule 3-Calabi–Yau conclusion
Let be a quiver with potential, and consider the conclusions of the bimodule -Calabi–Yau result [?]. In particular, these include the corresponding conclusions for the quiver-with-potential interior construction and for the Frobenius cluster category construction. The no-positive-grading conjecture. The conclusion of the bimodule -Calabi–Yau result, and hence those of the quiver-with-potential interior construction and the Frobenius cluster category construction, remains valid without the assumption that admits a positive grading. The conjecture would remove the main technical hypothesis used to obtain these categorical constructions; the source gives no resolution.
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Primary source
Matthew Pressland, “A categorification of acyclic principal coefficient cluster algebras”, arXiv:1702.05352 (2023).
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