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8 papers
Relative quantum cohomology under birational transformations
Fenglong You
We study how relative quantum cohomology, defined by Tseng--You and Fan--Wu--You, varies under birational transformations. For toric complete intersections with simple normal cross…
Higher genus relative Gromov--Witten theory and DR-cycles
Honglu Fan, Longting Wu, Fenglong You
We extend the definition of relative Gromov--Witten invariants with negative contact orders to all genera. Then we show that relative Gromov--Witten theory forms a partial CohFT. S…
Relative Gromov-Witten invariants and the enumerative meaning of mirror maps for toric Calabi-Yau orbifolds
Fenglong You
We provide an enumerative meaning of the mirror maps for toric Calabi-Yau orbifolds in terms of relative Gromov-Witten invariants of the toric compactifications. As a consequence,…
Mirror theorems for root stacks and relative pairs
Honglu Fan, Hsian-Hua Tseng, Fenglong You
Given a smooth projective variety with a smooth nef divisor and a positive integer , we construct an -function, an explicit slice of Givental's Lagrangian cone, for G…
Structures in genus-zero relative Gromov--Witten theory
Honglu Fan, Longting Wu, Fenglong You
In this paper, we define genus-zero relative Gromov--Witten invariants with negative contact orders. Using this, we construct relative quantum cohomology rings and Givental formali…
Higher genus relative and orbifold Gromov-Witten invariants
Hsian-Hua Tseng, Fenglong You
Given a smooth projective variety and a smooth divisor . We study relative Gromov-Witten invariants of and the corresponding orbifold Gromov-Witten invarian…