Correspondence theorem between holomorphic discs and tropical discs on \(K3\) surfaces

DOI10.4310/jdg/1609902017zbMath1468.53072arXiv1703.00411OpenAlexW3119331441WikidataQ115164566 ScholiaQ115164566MaRDI QIDQ2218655

Yu-Shen Lin

Publication date: 15 January 2021

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00411

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) (K3) surfaces and Enriques surfaces (14J28) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (4)

A proof of N. Takahashi's conjecture for \(( \mathbb{P}^2, E)\) and a refined sheaves/Gromov-Witten correspondence ⋮ Log BPS numbers of log Calabi-Yau surfaces ⋮ Sheaves of maximal intersection and multiplicities of stable log maps ⋮ On the tropical discs counting on elliptic K3 surfaces with general singular fibres

Cites Work

• Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. I
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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