Conjecture relating trisection invariants to Kashaev's invariant
For an integer , let be a closed connected -manifold, let be the Hopf triplet specified by the construction in the source, let be its trisection invariant, and let be Kashaev's invariant of .
Kashaev's invariant conjecture. The invariants satisfy
This is Conjecture 4.3 of the cited work of Chaidez, Cotler and Cui. The supplied text does not provide evidence that it has been proved or disproved.
References
Primary source
Catherine Meusburger, Vincentas Mulevicius and Fiona Torzewska, “Categorical 4-manifold invariants from trisection diagrams”, arXiv:2511.19384 (2025).
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