72 citations · 253 across the 16 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.AC2015
Lower bound cluster algebras: presentations, Cohen-Macaulayness, and normality
Greg Muller, Jenna Rajchgot, Bradley Zykoski
We give an explicit presentation for each lower bound cluster algebra. Using this presentation, we show that each lower bound algebra Grobner degenerates to the Stanley-Reisner sch…
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.
math.QA2015
The existence of a maximal green sequence is not invariant under quiver mutation
Greg Muller
This note provides a quiver which does not admit a maximal green sequence, but which is mutation-equivalent to a quiver which does admit a maximal green sequence. The proof uses th…