87 citations · 223 across the 18 of their papers we have counts for
4 papers · 1 filter
Notes: from dual canonical bases to triangular bases of quantum cluster algebras
Fan Qin
These notes are mainly based on arXiv:2003.13674 and a series of talks given in the workshop CARTEA. For any symmetrizable Kac-Moody algebra and any Weyl group eleme…
Stability scattering diagrams and quiver coverings
Qiyue Chen, Travis Mandel, Fan Qin
Given a covering of a quiver (with potential), we show that the associated Bridgeland stability scattering diagrams are related by a restriction operation under the assumption of a…
A refined multiplication formula for cluster characters
Bernhard Keller, Pierre-Guy Plamondon, Fan Qin
We obtain a multiplication formula for cluster characters on (stably) 2-Calabi-Yau (Frobenius or) triangulated categories. This formula generalizes those known for arbitrary pairs…
Bracelets bases are theta bases
Travis Mandel, Fan Qin
The skein algebra of a marked surface, possibly with punctures, admits the basis of (tagged) bracelet elements constructed by Fock-Goncharov and Musiker-Schiffler-Williams. As a cl…