Applications of Mutations in the Derived Categories of Weighted Projective Lines to Lie and Quantum Algebras
Applications of Mutations in the Derived Categories of Weighted Projective Lines to Lie and Quantum Algebras
Abstract Let $\textrm{coh}\ \mathbb{X}$ be the category of coherent sheaves over a weighted projective line $\mathbb{X}$ and let $D^b(\textrm{coh}\ \mathbb{X})$ be its bounded derived category. The present paper focuses on the study of the right and left mutation functors arising in $D^b(\textrm{coh}\ \mathbb{X})$ attached to certain line bundles. As applications, …