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math.AG2026
Open enumerative geometries for Landau-Ginzburg models
Mark Gross, Tyler L. Kelly, Ran J. Tessler
We survey the recent progress in defining open enumerative theories for Landau-Ginzburg models. We illustrate the ideas required to develop these new foundations. In particular, we…
math.AG2026
The point insertion technique and open -spin theories I: moduli and orientation
Ran J. Tessler, Yizhen Zhao
The papers [3,1,4,10] constructed an intersection theory on the moduli space of -spin disks, and proved it satisfies mirror symmetry and relations with integrable hierarchies. T…
math.AG2026
Open -spin theory in genus one, and the Gelfand-Dikii wave function
Ran J. Tessler, Yizhen Zhao
We construct the sector of the open -spin theory, that is, an open -spin theory on the moduli space of cylinders. This is the second construction of a open inters…