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arXiv · 1301.5079

Cluster algebras and singular supports of perverse sheaves

Hiraku Nakajima
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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.

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Hiraku Nakajima. 2013-01-22. Cluster algebras and singular supports of perverse sheaves. https://arxiv.org/abs/1301.5079

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