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arXiv · 2302.02402

Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers

Weiqiang He·Yingchun Zhang
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Abstract

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 varieties are equivalent. In particular, it is known that a $D$-type quiver goes back to itself after finite times quiver mutations, and we further prove that Gromov-Witten theory together with k\"ahler variables of a $D_3$-type quiver variety return to the original ones after finite times quiver mutations.

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Weiqiang He, Yingchun Zhang. 2023-02-05. Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers. https://arxiv.org/abs/2302.02402

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