59 citations · 132 across the 14 of their papers we have counts for
17 papers
Mutation equivalence of toric Landau-Ginzburg models
Thomas Prince
Given a Fano complete intersection defined by sections of a collection nef line bundles on a Fano toric manifold , a construction of Givental/Hori-Vafa provide…
On the cohomology groups of real Lagrangians in Calabi-Yau threefolds
Hülya Argüz, Thomas Prince
The quintic threefold is the most studied Calabi-Yau -fold in the mathematics literature. In this paper, using Čech-to-derived spectral sequences, we investigate the mod …
Smoothing Calabi-Yau toric hypersurfaces using the Gross-Siebert algorithm
Thomas Prince
We explain how to form a novel dataset of simply connected Calabi-Yau threefolds via the Gross-Siebert algorithm. We expect these to degenerate to Calabi-Yau toric hypersurfaces wi…
Real Lagrangians in Calabi-Yau Threefolds
Hülya Argüz, Thomas Prince
We compute the mod cohomology groups of real Lagrangians in Calabi-Yau threefolds using well-behaved torus fibrations constructed by Gross. To do this we study a long exact seq…
From Cracked Polytopes to Fano Threefolds
Thomas Prince
We construct Fano threefolds with very ample anti-canonical bundle and Picard rank greater than one from cracked polytopes - polytopes whose intersection with a complete fan forms…
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…