22 citations · 106 across the 21 of their papers we have counts for
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The proper Landau--Ginzburg potential, intrinsic mirror symmetry and the relative mirror map
Fenglong You
Given a smooth log Calabi--Yau pair , we use the intrinsic mirror symmetry construction to define the mirror proper Landau--Ginzburg potential and show that it is a generati…
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…
Degenerations, fibrations and higher rank Landau-Ginzburg models
Charles F. Doran, Jordan Kostiuk, Fenglong You
We study semi-stable degenerations of quasi-Fano varieties to unions of two pieces. We conjecture that the higher rank Landau-Ginzburg models mirror to these two pieces can be glue…
The local-orbifold correspondence for simple normal crossings pairs
Luca Battistella, Navid Nabijou, Hsian-Hua Tseng +1
For a smooth projective variety and a simple normal crossings divisor, we establish a precise cycle-level correspondence between the genus zero local Gromov-…
A Gromov-Witten theory for simple normal-crossing pairs without log geometry
Hsian-Hua Tseng, Fenglong You
We define a new Gromov-Witten theory relative to simple normal crossing divisors as a limit of Gromov-Witten theory of multi-root stacks. Several structural properties are proved i…
A mirror theorem for multi-root stacks and applications
Hsian-Hua Tseng, Fenglong You
Given a smooth projective variety with a simple normal crossing divisor , where are smooth, irreducible and nef. We prove a mirror theorem fo…
Gromov--Witten invariants of root stacks with mid-ages and the loop axiom
Fenglong You
We study orbifold Gromov--Witten invariants of the -th root stack with a pair of mid-ages when is sufficiently large. We prove that genus invariants with a pai…
On the polynomiality of orbifold Gromov--Witten theory of root stacks
Hsian-Hua Tseng, Fenglong You
In \cite{TY18}, higher genus Gromov--Witten invariants of the stack of -th roots of a smooth projective variety along a smooth divisor are shown to be polynomials in …
The Doran-Harder-Thompson conjecture for toric complete intersections
Charles F. Doran, Jordan Kostiuk, Fenglong You
Given a Tyurin degeneration of a Calabi-Yau complete intersection in a toric variety, we prove gluing formulas relating the generalized functional invariants, periods, and -func…
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…
Higher genus relative and orbifold Gromov-Witten invariants of curves
Hsian-Hua Tseng, Fenglong You
Given a smooth target curve , we explore the relationship between Gromov-Witten invariants of relative to a smooth divisor and orbifold Gromov-Witten invariants of the -t…
Wall-Crossing in Genus Zero K-theoretic Landau-Ginzburg Theory
Hsian-Hua Tseng, Fenglong You
For a Fermat quasi-homogeneous polynomial , we study a family of K-theoretic quantum invariants parametrized by a positive rational number . We prove a wall-crossing formula…
Double ramification cycles on the moduli spaces of admissible covers
Hsian-Hua Tseng, Fenglong You
We derive a formula for the virtual class of the moduli space of rubber maps to pushed forward to the moduli space of stable maps to . As an application, we…
K-theoretic quasimap invariants and their wall-crossing
Hsian-Hua Tseng, Fenglong You
For each positive rational number , we define -theoretic -stable quasimaps to certain GIT quotients $W\sslash G$. For , this recovers the -theoretic Gromov-Witten…
On orbifold Gromov-Witten theory in codimension one
Hsian-Hua Tseng, Fenglong You
We propose a conjectural determination of the Gromov-Witten theory of a root stack along a smooth divisor. We verify our conjecture under an additional assumption.
The Quantum Orbifold Cohomology of Toric Stack Bundles
Yunfeng Jiang, Hsian-Hua Tseng, Fenglong You
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 construc…
Seidel elements and mirror transformations for toric stacks
Fenglong You
We give a precise relation between the mirror transformation and the Seidel elements for weak Fano toric Deligne-Mumford stacks. Our result generalizes the corresponding result for…