22 citations · 75 across the 11 of their papers we have counts for
11 papers
An ML approach to resolution of singularities
Gergely Bérczi, Honglu Fan, Mingcong Zeng
The solution set of a system of polynomial equations typically contains ill-behaved, singular points. Resolution is a fundamental process in geometry in which we replace singular p…
Holomorphic anomaly equation for and the Nekrasov-Shatashvili limit of local
Pierrick Bousseau, Honglu Fan, Shuai Guo +1
We prove a higher genus version of the genus local-relative correspondence of van Garrel-Graber-Ruddat: for a pair with a smooth projective variety and a nef sm…
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…
Witten-Dijkgraaf-Verlinde-Verlinde equation and its application to relative Gromov-Witten theory
Honglu Fan, Longting Wu
We derive a recursive formula for certain relative Gromov-Witten invariants with maximal tangency condition via the Witten-Dijkgraaf-Verlinde-Verlinde equation. For certain relativ…
Variations on the theme of quantum Lefschetz
Honglu Fan, Yuan-Pin Lee
In this companion piece to 1712.03573, some variations on the main results there are sketched. In particular, the recursions in 1712.03573, which we interpreted as the quantum Lefs…
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…
Towards a quantum Lefschetz hyperplane theorem in all genera
Honglu Fan, Yuan-Pin Lee
An effective algorithm of determining Gromov--Witten invariants of smooth hypersurfaces in any genus (subject to a degree bound) from Gromov--Witten invariants of the ambient space…
A quantum splitting principle and an application
Honglu Fan
We propose an analogy of splitting principle in genus Gromov--Witten theory. More precisely, we show how the Gromov--Witten theory of a variety can be embedded into the the…
Chern classes and Gromov--Witten theory of projective bundles
Honglu Fan
We prove that the Gromov--Witten theory (GWT) of a projective bundle can be determined by the Chern classes and the GWT of the base. It completely answers a question raised in a pr…
On Gromov-Witten theory of projective bundles
Honglu Fan, Yuan-Pin Lee
Given two equivariant vector bundles over an algebraic GKM manifold with the same equivariant Chern classes, we show that the genus zero equivariant Gromov--Witten theory of their…