43 citations · 48 across the 6 of their papers we have counts for
7 papers
Mysterious duality and helical line bundles on del Pezzo surfaces
Alastair King
Mysterious duality is a relationship, described by Vafa in 2000, between -BPS branes in Type II supergravity in dimension and rational curves on del Pezzo surfaces…
2-periodic frieze patterns
Alastair King, Toril Palaniappan
We classify 2-periodic mesh friezes of finite type , or with positive real entries. There are families with 0,1, or 2 parameters, depending on type.
Categorification and mirror symmetry for Grassmannians
Bernt Tore Jensen, Alastair King, Xiuping Su
The homogeneous coordinate ring of the Grassmannian is a cluster algebra, with an additive categorification . Thus every $M…
On the magnitude of a finite dimensional algebra
Joseph Chuang, Alastair King, Tom Leinster
There is a general notion of the magnitude of an enriched category, defined subject to hypotheses. In topological and geometric contexts, magnitude is already known to be closely r…
A categorification of Grassmannian cluster algebras
Bernt Tore Jensen, Alastair King, Xiuping Su
We describe a ring whose category of Cohen-Macaulay modules provides an additive categorification of the cluster algebra structure on the homogeneous coordinate ring of the Grassma…
Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve
V. Balaji, A. D. King, P. E. Newstead
Let $\MC$ be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve . This paper identifies the alge…
Moduli of Brill-Noether pairs on algebraic curves
A. D. King, P. E. Newstead
We construct coarse moduli spaces for `Brill-Noether pairs'. Such a pair consists of a torsion-free sheaf over an algebraic curve and a vector subspace of its space of…