Gromov-Witten theory of banded gerbes over schemes

Mathematics – Algebraic Geometry

Scientific paper

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v1:32 pages, preliminary version, comments welcome; v2: a typo removed, comments still welcome

Scientific paper

Let $X$ be a smooth complex projective algebraic variety. Let $\mathcal{G}$
be a $G$-banded gerbe with $G$ a finite abelian group. We prove an exact
formula expressing genus $g$ orbifold Gromov-Witten invariants of $\mathcal{G}$
in terms of those of $X$.

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