星形箭图的Seiberg对偶猜想与D型箭图Gromov-Witten理论的有限性
Seiberg Duality conjecture for star-shaped quivers and finiteness of Gromov-Witten thoery for D-type quivers
AI总结：
本文证明星形箭图的Seiberg对偶猜想成立，并进一步证明D_3型箭图簇代数簇的Gromov-Witten理论及Kähler变量在有限次突变后恢复原状。
摘要：
这是关于Seiberg对偶的第二项工作。本文证明了Seiberg对偶猜想对星形箭图成立：两个突变相关的簇代数簇的Gromov-Witten理论是等价的。特别地，已知一个D型箭图在有限次箭图突变后会回到自身，我们进一步证明了一个D_3型箭图簇代数簇的Gromov-Witten理论连同Kähler变量在有限次箭图突变后回到原始状态。
英文摘要：
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 kähler variables of a $D_3$-type quiver variety return to the original ones after finite times quiver mutations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
