36 citations · 202 across the 22 of their papers we have counts for
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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.CT2015★ 18 cited
String diagrams for traced and compact categories are oriented 1-cobordisms
David I. Spivak, Patrick Schultz, Dylan Rupel
We give an alternate conception of string diagrams as labeled 1-dimensional oriented cobordisms, the operad of which we denote by Cob/O, where O is the set of string labels. The ax…
math.RA2015★ 9 cited
Companion cluster algebras to a generalized cluster algebra
Tomoki Nakanishi, Dylan Rupel
We study the -vectors, -vectors, and -polynomials for generalized cluster algebras satisfying a normalization condition and a power condition recovering classical recursio…