Pseudoholomorphic tori in the Kodaira–Thurston manifold

DOI10.1112/S0010437X15007460zbMath1335.32020arXiv1205.1239OpenAlexW3102168888MaRDI QIDQ2786460

Jarosław Kȩdra, Jonathan David Evans

Publication date: 12 February 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1239

zbMATH Keywords

pseudoholomorphic curvesfamily Gromov-Witten invariantsKodaira-Thurston manifold

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Global theory of symplectic and contact manifolds (53D35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Pseudoholomorphic curves (32Q65)

Cites Work

• Holomorphic anomalies in topological field theories
• Yau-Zaslow formula on K3 surfaces for non-primitive classes
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Relative family Gromov-Witten invariants and symplectomorphisms
• Counting curves in elliptic surfaces by symplectic methods
• Pseudo holomorphic curves in symplectic manifolds
• Kähler and symplectic structures on nilmanifolds
• Topological sigma models
• A rigorous definition of fiberwise quantum cohomology and equivariant quantum cohomology
• Higher genus symplectic invariants and sigma models coupled with gravity
• Restrictions on symplectic fibrations
• Family Gromov-Witten invariants for Kähler surfaces
• The reduced genus $1$ Gromov-Witten invariants of Calabi-Yau hypersurfaces
• Noether-Lefschetz theory and the Yau-Zaslow conjecture
• The enumerative geometry of $K3$ surfaces and modular forms
• A mathematical theory of quantum cohomology

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