A quantum Leray-Hirsch theorem for banded gerbes

Xiang Tang; Hsian-hua Tseng

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arXiv · 1602.03564

A quantum Leray-Hirsch theorem for banded gerbes

Xiang Tang·Hsian-hua Tseng

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Abstract

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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BibTeX RIS

Xiang Tang, Hsian-hua Tseng. 2016-02-10. A quantum Leray-Hirsch theorem for banded gerbes. https://arxiv.org/abs/1602.03564

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