Resumen de Mirror theorems for root stacks and relative pairs

Honglu Fan, Hsian Hua Tseng, Fenglong You

• Given a smooth projective variety X with a smooth nef divisor D and a positive integer r, we construct an I-function, an explicit slice of Givental’s Lagrangian cone, for Gromov–Witten theory of the root stack X D,r. As an application, we also obtain an I-function for relative Gromov–Witten theory following the relation between relative and orbifold Gromov–Witten invariants.