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Tseng, Hsian-Hua

On Gromov-Witten theory of toric gerbes. (English) Zbl 1448.14055

Albanian J. Math. 14, 3-23 (2020).
Summary: Toric gerbes are étale gerbes over toric Deligne-Mumford stacks which are constructed out of suitably chosen toric data. In this paper we study the genus 0 Gromov-Witten theory of toric gerbes. Our main result equates the genus 0 Gromov-Witten theory of a toric gerbe with a suitable twist of the genus 0 Gromov-Witten theory of a disjoint union of several copies of the base. Our result can be interpreted in the context of the decomposition conjecture in physics. The main tool used in this paper is the calculation of Gromov-Witten theory of toric Deligne-Mumford stacks by Coates-Corti-Iritani-Tseng.

Cited in 1 Document

MSC:

14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14A20 Generalizations (algebraic spaces, stacks)

Keywords:

toric gerbes; Gromov-Witten theory
PDFBibTeX XMLCite
\textit{H.-H. Tseng}, Albanian J. Math. 14, 3--23 (2020; Zbl 1448.14055)
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References:

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