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math.AG2023
Open/closed Correspondence and Extended LG/CY Correspondence for Quintic Threefolds
Konstantin Aleshkin, Chiu-Chu Melissa Liu
We show that Walcher's disk potential for the quintic threefold can be represented as a central charge of a specific Gauged Linear Sigma Model which we call the extended quintic GL…
math.AG2023
Higgs-Coulomb correspondence and Wall-Crossing in abelian GLSMs
Konstantin Aleshkin, Chiu-Chu Melissa Liu
We compute I-functions and central charges for abelian GLSMs using virtual matrix factorizations of Favero and Kim. In the Calabi-Yau case we provide analytic continuation for the…
math.AG2022★ 2 cited
Wall-crossing for K-theoretic quasimap invariants I
Konstantin Aleshkin, Chiu-Chu Melissa Liu
We study K-theoretic GLSM invariants with one-dimensional gauge group and introduce elliptic central charges that depend on an elliptic cohomology class called an elliptic brane an…