%0 Journal Article
%T On Gromov-Witten theory of root gerbes
%A Elena Andreini
%A Yunfeng Jiang
%A Hsian-Hua Tseng
%J Mathematics
%D 2008
%I arXiv
%X This research announcement discusses our results on Gromov-Witten theory of root gerbes. A complete calculation of genus 0 Gromov-Witten theory of $\mu_{r}$-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 \'etale gerbes with that of the bases. We also verify this conjecture in all genera for toric gerbes over toric Deligne-Mumford stacks.
%U http://arxiv.org/abs/0812.4477v1