A quantum Leray–Hirsch theorem for banded gerbes
A quantum Leray–Hirsch theorem for banded gerbes
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DOI：
10.4310/jdg/1635368578
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发表时间：
2016-02
影响因子：
2.5
通讯作者：
Xiang Tang;Hsian-Hua Tseng
中科院分区：
文献类型：
--
作者：
Xiang Tang;Hsian-Hua Tseng
对有限群G约束的光滑真Deligne-Mumford栈$\B$上的格贝$\Y$，我们证明了$\Y$的Gromov-Witten理论的一个结构结果，用$\B$上的各种平坦格贝$U（1）$扭曲的$\B$的Gromov-Witten不变量表示$\Y$的Gromov-Witten不变量.这被解释为一个Leray-Hirsch类型的结果Gromov-Witten理论的gerbes。
For a gerbe $\Y$ over a smooth proper Deligne-Mumford stack $\B$ banded by a finite group $G$, we prove a structure result on the Gromov-Witten theory of $\Y$, expressing Gromov-Witten invariants of $\Y$ in terms of Gromov-Witten invariants of $\B$ twisted by various flat $U(1)$-gerbes on $\B$. This is interpreted as a Leray-Hirsch type of result for Gromov-Witten theory of gerbes.