The exponential decay of gluing maps for \(J\)-holomorphic map moduli space

DOI10.1016/j.jde.2018.08.032zbMath1431.53094arXiv1506.06333OpenAlexW2964131791WikidataQ125968785 ScholiaQ125968785MaRDI QIDQ2423254

An-Min Li, Li Sheng

Publication date: 21 June 2019

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

Full work available at URL: https://arxiv.org/abs/1506.06333

zbMATH Keywords

weighted Sobolev spacesGromov-Witten invariantsexponential decaylinearized operator\(J\)-holomorphic mapsgluing mapsmarked nodal Riemann surface

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) Symplectic structures of moduli spaces (53D30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Pseudoholomorphic curves (32Q65)

Related Items (1)

Virtual neighborhood technique for moduli spaces of holomorphic curves

Cites Work

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• Floer homology and Arnold conjecture
• Arnold conjecture and Gromov-Witten invariant
• Topological sigma model and Donaldson-type invariants in Gromov theory
• Virtual neighborhoods and pseudo-holomorphic curves
• Gromov-Witten invariants of general symplectic manifolds
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds
• A mathematical theory of quantum cohomology

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