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Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers
Weiqiang He, Yingchun Zhang
This is the second work on Seiberg Duality. This work proves that the Seiberg duality conjecture holds for star-shaped quivers: the Gromov-Witten theories for two mutation-related…
Gromov-Witten Theory of type quiver varieties and Seiberg Duality
Yingchun Zhang
Seiberg duality conjecture asserts that the Gromov-Witten theories (Gauged Linear Sigma Models) of two quiver varieties related by quiver mutations are equal via variable change. I…
Genus Two Quasi-Siegel Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds
Yongbin Ruan, Yingchun Zhang, Jie Zhou
We first develop theories of differential rings of quasi-Siegel modular and quasi-Siegel Jacobi forms for genus two. Then we apply them to the Eynard-Orantin topological recursion…
Open Gromov-Witten Theory of and Jacobi Forms
Bohan Fang, Yongbin Ruan, Yingchun Zhang +1
It was known through the efforts of many works that the generating functions in the closed Gromov-Witten theory of are meromorphic quasi-modular forms basing on t…