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arXiv · 0812.4477

On Gromov-Witten theory of root gerbes

Elena Andreini·Yunfeng Jiang·Hsian-Hua Tseng
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Abstract

This research announcement discusses our results on Gromov-Witten theory of root gerbes. A complete calculation of genus 0 Gromov-Witten theory of $μ_{r}$-root gerbes over a smooth base scheme is obtained by a direct analysis of virtual fundamental classes. Our result verifies the genus 0 part of the so-called decomposition conjecture which compares Gromov-Witten theory of étale gerbes with that of the bases. We also verify this conjecture in all genera for toric gerbes over toric Deligne-Mumford stacks.

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Elena Andreini, Yunfeng Jiang, Hsian-Hua Tseng. 2008-12-24. On Gromov-Witten theory of root gerbes. https://arxiv.org/abs/0812.4477

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