Cluster algebras and singular supports of perverse sheaves
Quantum Algebra
2013-02-08 v2 Rings and Algebras
Representation Theory
Abstract
We propose an approach to Geiss-Leclerc-Schroer's conjecture on the cluster algebra structure on the coordinate ring of a unipotent subgroup and the dual canonical base. It is based on singular supports of perverse sheaves on the space of representations of a quiver, which give the canonical base.
Keywords
Cite
@article{arxiv.1301.5079,
title = {Cluster algebras and singular supports of perverse sheaves},
author = {Hiraku Nakajima},
journal= {arXiv preprint arXiv:1301.5079},
year = {2013}
}
Comments
21 pages; v2: A paragraph explaining a relation between the main conjecture and an earlier conjecture by Geiss-Leclerc-Schroer is added