12 citations · 33 across the 8 of their papers we have counts for
10 papers
Painted Tropical Complexes
Gabriel Kerr, Sophia Palcic
We define the notion of a painted tropical -complex and describe a poset structure on the set of all such complexes. This poset is equivalent to the face lattice of a secondary…
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…
Phase tropical hypersurfaces
Gabriel Kerr, Ilia Zharkov
We prove that a generic smooth complex hypersurface in the complex torus is homeomorphic to the corresponding phase tropical hypersurface.
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…
Orlov spectra as a filtered cohomology theory
Ludmil Katzarkov, Gabriel Kerr
This paper presents a new approach to the dimension theory and Orlov spectra of triangulated categories by considering natural filtrations that arise in the pretriangulated setting…
Compactifications of spaces of Landau-Ginzburg models
Colin Diemer, Ludmil Katzarkov, Gabriel Kerr
This paper reviews results and techniques from the authors' previous work "Symplectomorphism group relations and degenerations of Landau-Ginzburg models" and applies them in basic…
Symplectomorphism group relations and degenerations of Landau-Ginzburg models
Colin Diemer, Ludmil Katzarkov, Gabriel Kerr
In this paper, we describe explicit relations in the symplectomorphism groups of toric hypersurfaces. To define the elements involved, we construct a proper stack of toric hypersur…
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…