59 citations · 132 across the 14 of their papers we have counts for
4 papers · 1 filter
Polygons of Finite Mutation Type
Thomas Prince
We classify Fano polygons with finite mutation class. This classification exploits a correspondence between Fano polygons and cluster algebras, refining the notion of singularity c…
Cracked Polytopes and Fano Toric Complete Intersections
Thomas Prince
We introduce the notion of cracked polytope, and - making use of joint work with Coates and Kasprzyk - construct the associated toric variety as a subvariety of a non-singular…
A Note on Schoen's Calabi--Yau Threefolds
Hülya Argüz, Thomas Prince
We study the topology of a real Lagrangian in Schoen's Calabi--Yau threefold and compute its mod cohomology using two methods; first via a concrete Mayer--Vietoris calculat…
Lagrangian torus fibration models of Fano threefolds
Thomas Prince
Inspired by the work of Gross on topological Mirror Symmetry we construct candidate Lagrangian torus fibration models for the 105 families of smooth Fano threefolds. We prove, in t…