12 citations · 29 across the 3 of their papers we have counts for
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Gromov-Witten Theory of Toric Birational Transformations
Pedro Acosta, Mark Shoemaker
We investigate the effect of a general toric wall crossing on genus zero Gromov-Witten theory. Given two complete toric orbifolds and related by wall crossing under var…
Quantum Cohomology of Toric Blowups and Landau-Ginzburg Correspondences
Pedro Acosta, Mark Shoemaker
We establish a genus zero correspondence between the equivariant Gromov-Witten theory of the Deligne-Mumford stack and its blowup at the origin. The relationship…
Asymptotic Expansion and the LG/(Fano, General Type) Correspondence
Pedro Acosta
The celebrated LG/CY correspondence asserts that the Gromov-Witten theory of a Calabi-Yau (CY) hypersurface in weighted projective space is equivalent to its corresponding FJRW-the…
FJRW-Rings and Landau-Ginzburg Mirror Symmetry in Two Dimensions
Pedro Acosta
For any non-degenerate, quasi-homogeneous hypersurface singularity W and an admissible group of diagonal symmetries G, Fan, Jarvis, and Ruan have constructed a cohomological field…
FJRW-rings and Mirror Symmetry
Marc Krawitz, Nathan Priddis, Pedro Acosta +2
We verify the Landau-Ginzburg Mirror Symmetry Conjecture for Arnol'd's list of unimodal and bimodal quasi-homogeneous singularities with G the maximal diagonal symmetry group, and…