Gromov-Witten theory of banded gerbes over schemes

Abstract

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 $X$.

arXiv commentv1:32 pages, preliminary version, comments welcome; v2: a typo removed, comments still welcome

References in corpus (3)

• Orbifold Quantum Riemann-Roch, Lefschetz and Serre
• Cluster decomposition, T-duality, and gerby CFT's
• Duality theorems for étale gerbes on orbifolds

Cited by in corpus (10)

• Notes on generalized global symmetries in QFT
• Higher genus relative Gromov--Witten theory and DR-cycles
• Duality theorems for étale gerbes on orbifolds
• A quantum Leray-Hirsch theorem for banded gerbes
• Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
• Orbifold Gromov--Witten theory of weighted blowups
• On the polynomiality of orbifold Gromov--Witten theory of root stacks
• On the geometry of orbifold Gromov-Witten invariants
• Quasimaps to moduli spaces of sheaves
• On orbifold Gromov-Witten theory in codimension one