6 citations · 10 across the 4 of their papers we have counts for
5 papers
On 2d-4d motivic wall-crossing formulas
Gabriel Kerr, Yan Soibelman
In this paper we propose definitions and examples of categorical enhancements of the data involved in the - wall-crossing formulas which generalize both Cecotti-Vafa and Ko…
Partially wrapped Fukaya categories of simplicial skeleta
Ludmil Katzarkov, Gabriel Kerr
A class of partially wrapped Fukaya categories in are proven to be well defined and then studied. In the case of diffeomorphic to , it…
Homological mirror symmetry of elementary birational cobordisms
Gabriel Kerr
The derived category of coherent sheaves associated to a birational cobordism which is either a weighted projective space, a stacky Atiyah flip, or a stacky blow-up…
The Mori Program and Non-Fano Toric Homological Mirror Symmetry
Matthew Ballard, Colin Diemer, David Favero +2
In the case of toric varieties, we continue the pursuit of Kontsevich's fundamental insight, Homological Mirror Symmetry, by unifying it with the Mori program. We give a refined co…
Weighted Blowups and Mirror Symmetry for Toric Surfaces
Gabriel D. Kerr
This paper explores homological mirror symmetry for weighted blowups of toric varieties. It will be shown that both the A-model and B-model categories have natural semiorthogonal d…