Higher genus quasimap wall-crossing for semi-positive targets
Higher genus quasimap wall-crossing for semi-positive targets
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DOI：
10.4171/jems/713
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发表时间：
2013-08
期刊：
影响因子：
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通讯作者：
I. Ciocan-Fontanine;Bumsig Kim
中科院分区：
文献类型：
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作者：
I. Ciocan-Fontanine;Bumsig Kim
在之前的工作 (arXiv:1304.7056) 中，我们猜想了 GIT 商的属零拟图不变量的穿墙公式，并在许多情况下通过本地化证明了它们。当目标为半正时，我们将这些公式扩展到更高的属，并证明它们对于半正复曲面变体，特别是对于复曲面局部 Calabi-Yau 目标。该证明也适用于与某些非阿贝尔商相关的局部 Calabi-Yau。
In previous work (arXiv:1304.7056) we have conjectured wall-crossing formulas for genus zero quasimap invariants of GIT quotients and proved them via localization in many cases. We extend these formulas to higher genus when the target is semi-positive, and prove them for semi-positive toric varieties, in particular for toric local Calabi-Yau targets. The proof also applies to local Calabi-Yau's associated to some non-abelian quotients.