3 papers
math.RT2026
A Higgs category for the cluster variety of triples of flags
Bernhard Keller, Miantao Liu
The cluster variety of triples of flags (associated with a split simple Lie group of Dynkin type Delta) plays a key role in higher Teichmuller theory as developed by Fock-Goncharov…
math.RT2026
-vectors and --polynomials for Grassmannians
Sarjick Bakshi, Bernhard Keller
We review -infinite Frobenius categorification of cluster algebras with coefficients and use it to give two applications of Jensen--King--Su's Frobenius categorificat…
math.RT2025
Dg enhanced orbit categories and applications
Li Fan, Bernhard Keller, Yu Qiu
Our aim in this paper is to prove two results related to the three constructions of cluster categories: as orbit categories, as singularity categories and as cosingularity categori…