2015/03/31 by Yunfeng Jiang, Hsian-Hua Tseng, Fenglong You · 8 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cohomology #Cone (formal languages) #Gromov–Witten invariant #Orbifold #Quantum #Quantum cohomology #Stack (abstract data type) #Toric variety #math.AG
paper · pdf · doi:10.1007/s11005-016-0903-1
published in Letters in Mathematical Physics 107(3), 439-465 (Springer Science+Business Media) · 23 pages, revised according to the referees' reports
openalex created_date 2016/06/24 · arxiv created 2016/09/09 · openalex publication_date 2016/11/15 · arxiv updated 2017/02/27 · openalex updated_date 2026/08/05
We study Givental's Lagrangian cone for the quantum orbifold cohomology of toric stack bundles and prove that the I-function gives points in the Lagrangian cone, namely we construct an explicit slice of the Lagrangian cone defined by the genus 0 Gromov-Witten theory of a toric stack bundle.