Stable maps to Looijenga pairs

P Bousseau, A Brini, M van Garrel - arXiv preprint arXiv:2011.08830, 2020 - arxiv.org
A log Calabi-Yau surface with maximal boundary, or Looijenga pair, is a pair $(Y, D) $ with $
Y $ a smooth rational projective complex surface and $ D= D_1+\dots+ D_l\in|-K_Y| $ an …

Structures in genus‐zero relative Gromov–Witten theory

H Fan, L Wu, F You - Journal of Topology, 2020 - Wiley Online Library
Structures in genus‐zero relative Gromov–Witten theory - Fan - 2020 - Journal of Topology -
Wiley Online Library Skip to Article Content Skip to Article Information London Mathematical …

The proper Landau–Ginzburg potential, intrinsic mirror symmetry and the relative mirror map

F You - Communications in Mathematical Physics, 2024 - Springer
Given a smooth log Calabi–Yau pair (X, D), we use the intrinsic mirror symmetry construction
to define the mirror proper Landau–Ginzburg potential and show that it is a generating …

A Gromov–Witten theory for simple normal-crossing pairs without log geometry

HH Tseng, F You - Communications in Mathematical Physics, 2023 - Springer
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 …

Stable maps to Looijenga pairs: orbifold examples

P Bousseau, A Brini, M Garrel - Letters in Mathematical Physics, 2021 - Springer
In, we established a series of correspondences relating five enumerative theories of log
Calabi–Yau surfaces, ie pairs (Y, D) with Y a smooth projective complex surface and D= D …

Log BPS numbers of log Calabi-Yau surfaces

J Choi, M Van Garrel, S Katz, N Takahashi - Transactions of the American …, 2021 - ams.org
Let $(S, E) $ be a log Calabi-Yau surface pair with $ E $ a smooth divisor. We define new
conjecturally integer-valued counts of $\mathbb {A}^ 1$-curves in $(S, E) $. These log BPS …

The local-orbifold correspondence for simple normal crossing pairs

L Battistella, N Nabijou, HH Tseng… - Journal of the Institute of …, 2023 - cambridge.org
THE LOCAL-ORBIFOLD CORRESPONDENCE FOR SIMPLE NORMAL CROSSING PAIRS
1.1. Logarithmic Gromov–Witten theory 2516 1.2. Relation to Page 1 J. Inst. Math. Jussieu (2023) …

Gromov-Witten theory of bicyclic pairs

M van Garrel, N Nabijou, Y Schuler - arXiv preprint arXiv:2310.06058, 2023 - arxiv.org
A bicyclic pair is a smooth surface equipped with a pair of smooth divisors intersecting in two
reduced points. Resolutions of self-nodal curves constitute an important special case. We …

A mirror theorem for multi-root stacks and applications

HH Tseng, F You - Selecta Mathematica, 2023 - Springer
Let X be a smooth projective variety with a simple normal crossing divisor D:= D 1+ D 2+⋯+
D n, where D i⊂ X are smooth, irreducible and nef. We prove a mirror theorem for multi-root …

Degenerations, fibrations and higher rank Landau-Ginzburg models

CF Doran, J Kostiuk, F You - arXiv preprint arXiv:2112.12891, 2021 - arxiv.org
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 …