Wall-crossing in genus-zero hybrid theory
Wall-crossing in genus-zero hybrid theory
复制标题
DOI：
10.1515/advgeom-2021-0010
复制
发表时间：
2018-06
影响因子：
0.5
通讯作者：
E. Clader;Dustin Ross
中科院分区：
文献类型：
--
作者：
E. Clader;Dustin Ross
摘要 混合模型是 Landau-Ginzburg 型理论，预计通过 Landau-Ginzburg/Calabi-Yau 对应关系，与加权射影空间中完全相交的 Gromov-Witten 理论相匹配。我们证明了一个穿墙公式，该公式展示了零属混合模型对其稳定性参数的依赖性，概括了 [21] 的量子奇点理论工作，并与 Ciocan-Fontanine-Kim [7] 的准映射工作并行。这就完成了同度超曲面完全相交的零属Landau-Ginzburg/Calabi-Yau对应的证明，以及全属混合穿墙的证明[11]。
Abstract The hybrid model is the Landau–Ginzburg-type theory that is expected, via the Landau–Ginzburg/ Calabi–Yau correspondence, to match the Gromov–Witten theory of a complete intersection in weighted projective space. We prove a wall-crossing formula exhibiting the dependence of the genus-zero hybrid model on its stability parameter, generalizing the work of [21] for quantum singularity theory and paralleling the work of Ciocan-Fontanine–Kim [7] for quasimaps. This completes the proof of the genus-zero Landau– Ginzburg/Calabi–Yau correspondence for complete intersections of hypersurfaces of the same degree, as well as the proof of the all-genus hybrid wall-crossing [11].