On Gromov-Witten theory of root gerbes

Abstract

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 étale gerbes with that of the bases. We also verify this conjecture in all genera for toric gerbes over toric Deligne-Mumford stacks.

9 pages

References in corpus (5)

• A New Cohomology Theory for Orbifold
• Orbifold Quantum Riemann-Roch, Lefschetz and Serre
• Cluster decomposition, T-duality, and gerby CFT's
• Computing Genus-Zero Twisted Gromov-Witten Invariants
• Smooth toric DM stacks

Cited by in corpus (12)

• Notes on generalized global symmetries in QFT
• Quantization of Fayet-Iliopoulos Parameters in Supergravity
• Undoing decomposition
• Decomposition in diverse dimensions
• Equivariant Gromov-Witten theory of one dimensional stacks
• Quantum symmetries in orbifolds and decomposition
• Orbifolds by 2-groups and decomposition
• A generalization of decomposition in orbifolds
• General aspects of heterotic string compactifications on stacks and gerbes
• A quantum Leray-Hirsch theorem for banded gerbes
• A few recent developments in 2d (2,2) and (0,2) theories
• GLSM's, gerbes, and Kuznetsov's homological projective duality