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math.QA2020★ 1 cited
Quantization of deformed cluster Poisson varieties
Man-Wai Mandy Cheung, Juan Bosco Frías-Medina, Timothy Magee
Fock and Goncharov described a quantization of cluster -varieties (also known as cluster Poisson varieties) in [FG09]. Meanwhile, families of deformations of cluster $…
math.QA2015★ 36 cited
The greedy basis equals the theta basis
Man Wai Cheung, Mark Gross, Greg Muller +4
We prove the equality of two canonical bases of a rank 2 cluster algebra, the greedy basis of Lee-Li-Zelevinsky and the theta basis of Gross-Hacking-Keel-Kontsevich.