Crystal Bases for Quantum Affine Algebras and the Geometry of Nakajima Quiver Varieties

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18142861
Cited by: 0

Abstract

A rigorous derivation of the isomorphism between the crystal basis of the upper half of a quantum affine algebra and the irreducible components of the Lagrangian subvariety of Nakajima quiver varieties, utilizing geometric stability conditions and perverse sheaves.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Combinatorial Mathematics Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026