Castelnuovo bound and higher genus Gromov-Witten invariants of quintic 3-folds

Z Liu, Y Ruan - arXiv preprint arXiv:2210.13411, 2022 - arxiv.org
We prove a conjectural vanishing result for Gopakumar--Vafa invariants of quintic 3-folds,
referred to as Castelnuovo bound in the literature. Furthermore, we calculate Gopakumar …

An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds

HL Chang, J Li, WP Li, CCM Liu - arXiv preprint arXiv:1603.06184, 2016 - arxiv.org
This is the second part of the project toward an effective algorithm to evaluate all genus
Gromov-Witten invariants of quintic Calabi-Yau threefolds. In this paper, the localization …

Gromov-Witten theory of complete intersections

We provide an inductive algorithm computing Gromov-Witten invariants in all genera with
arbitrary insertions of all smooth complete intersections in projective space. We also prove …

Gromov–Witten theory of complete intersections via nodal invariants

H Argüz, P Bousseau, R Pandharipande… - Journal of …, 2023 - Wiley Online Library
We provide an inductive algorithm computing Gromov–Witten invariants in all genera with
arbitrary insertions of all smooth complete intersections in projective space. We also prove …

Quantum Lefschetz property for genus two stable quasimap invariants

S Lee, ML Li, J Oh - Mathematische Annalen, 2024 - Springer
By the reduced component in a moduli space of stable quasimaps to n-dimensional
projective space P n we mean the closure of the locus in which the domain curves are …

On weighted-blowup formulae of genus zero orbifold Gromov–Witten invariants

B Chen, CY Du - Compositio Mathematica, 2023 - cambridge.org
In this paper, we provide a new approach to prove some weighted-blowup formulae for
genus zero orbifold Gromov–Witten invariants. As a consequence, we show the invariance …

An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds

HL Chang, J Li, WP Li, CCM Liu - Journal of Differential Geometry, 2022 - projecteuclid.org
AN EFFECTIVE THEORY OF GW AND FJRW INVARIANTS OF QUINTIC CALABI–YAU
MANIFOLDS Huai-Liang Chang , Jun Li , Wei-Ping Li & Ch Page 1 j. differential geometry 120 …

On Genus 1 Gromov-Witten invariants of Fano complete intersections

X Hu - arXiv preprint arXiv:2203.08091, 2022 - arxiv.org
We study genus 1 Gromov-Witten invariants of Fano complete intersections in the projective
spaces. Among other things, we show a reconstruction theorem for genus 1 invariants with …

Punctured logarithmic R-maps

Q Chen, F Janda, Y Ruan - arXiv preprint arXiv:2208.04519, 2022 - arxiv.org
In this paper, we develop the theory of punctured R-maps as a crucial component of
logarithmic gauged linear sigma models (log GLSM). A punctured R-map is a punctured …

Congruences on K–theoretic Gromov–Witten invariants

J Guéré - Geometry & Topology, 2023 - msp.org
We study K–theoretic Gromov–Witten invariants of projective hypersurfaces using a virtual
localization formula under finite group actions. In particular, it provides all K–theoretic …