A mirror theorem for toric stacks

作者：Coates Tom^*; Corti Alessio; Iritani Hiroshi; Tseng Hsian Hua

来源：Compositio Mathematica, 2015, 151(10): 1878-1912.

DOI：10.1112/S0010437X15007356

• Gromov-Witten theory
• toric Deligne-Mumford stacks
• orbifolds
• quantum cohomology
• mirror symmetry
• Givental's symplectic formalism
• hypergeometric functions

We prove a Givental-style mirror theorem for toric Deligne Mumford stacks X. This determines the genus-zero Gromov Witten invariants of X in terms of an explicit hypergeometric function, called the I-function, that takes values in the Chen-Ruan orbifold cohomology of X.

• 出版日期2015-10