Gromov-Witten theory of toroidal orbifolds and GIT wall-crossing
Robert Silversmith
Abstract:Toroidal 3-orbifolds (S 1 ) 6 /G, for G a finite group, were some of the earliest examples of Calabi-Yau 3-orbifolds to be studied in string theory. While much mathematical progress towards the predictions of string theory has been made in the meantime, most of it has dealt with hypersurfaces in toric varieties. As a result, very little is known about curve-counting theories on toroidal orbifolds. In this paper, we initiate a program to study mirror symmetry and the Landau-Ginzburg/Calabi-Yau (LG/CY) correspon… Show more
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