Holomorphic anomaly equation for

P Bousseau, H Fan, S Guo, L Wu - Forum of Mathematics, Pi, 2021 - cambridge.org
Holomorphic anomaly equation for (P2 , ) and the Nekrasov-Shatashvili limit of local P Page 1
Forum of Mathematics, Pi (2021), Vol. 9:e3 1–57 doi:10.1017/fmp.2021.3 RESEARCH ARTICLE …

Gromov-Witten theory via roots and logarithms

L Battistella, N Nabijou, D Ranganathan - arXiv preprint arXiv:2203.17224, 2022 - arxiv.org
Orbifold and logarithmic structures provide independent routes to the virtual enumeration of
curves with tangency orders for a simple normal crossings pair $(X| D) $. The theories do not …

A tale of two moduli spaces: logarithmic and multi-scale differentials

D Chen, S Grushevsky, D Holmes, M Möller… - arXiv preprint arXiv …, 2022 - arxiv.org
Multi-scale differentials are constructed in [BCGGM3], from the viewpoint of flat and complex
geometry, for the purpose of compactifying moduli spaces of curves together with a …

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 …

Higher genus relative and orbifold Gromov–Witten invariants

HH Tseng, F You - Geometry & Topology, 2020 - msp.org
Given a smooth projective variety X and a smooth divisor D⊂ X, we study relative Gromov–
Witten invariants of (X, D) and the corresponding orbifold Gromov–Witten invariants of the r …

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 tree expressions with Omega-classes and Double Ramification cycles

X Blot, D Lewański, P Rossi, S Shadrin - arXiv preprint arXiv:2403.05190, 2024 - arxiv.org
arXiv:2403.05190v1 [math.AG] 8 Mar 2024 Page 1 arXiv:2403.05190v1 [math.AG] 8 Mar
2024 STABLE TREE EXPRESSIONS WITH OMEGA-CLASSES AND DOUBLE …

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 …

[HTML][HTML] Logarithmic quasimaps

Q Shafi - Advances in Mathematics, 2024 - Elsevier
We construct a proper moduli space which is a Deligne–Mumford stack parametrising
quasimaps relative to a simple normal crossings divisor in any genus using logarithmic …

Relative quantum cohomology under birational transformations

F You - arXiv preprint arXiv:2204.00509, 2022 - arxiv.org
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 …