A quantum Leray-Hirsch theorem for banded gerbes

Xiang Tang Washington University in St. Louis Hsian-Hua Tseng Ohio State University

Algebraic Geometry mathscidoc:1608.01006

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.
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  title={A quantum Leray-Hirsch theorem for banded gerbes},
  author={Xiang Tang, and Hsian-Hua Tseng},
Xiang Tang, and Hsian-Hua Tseng. A quantum Leray-Hirsch theorem for banded gerbes. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820105106900424314.
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