WEINSTEIN CONJECTURE AND GW-INVARIANTS

DOI10.1142/S0219199700000256zbMath1008.53071arXivdg-ga/9712020OpenAlexW2025004212WikidataQ123135464 ScholiaQ123135464MaRDI QIDQ2707939

Gang Liu, Tian, Gang

Publication date: 28 March 2003

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9712020

zbMATH Keywords

cyclecritical pointclosed orbitGromov-Witten invariantsHamiltonian flowpseudoholomorphic curvesGromov-Floer compactness theorem

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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Cites Work

• Examples of symplectic structures
• Pseudo holomorphic curves in symplectic manifolds
• Periodic solutions on hypersurfaces and a result by C. Viterbo
• Periodic orbits for convex hamiltonian systems
• Floer homology and Arnold conjecture
• On the equivalence of multiplicative structures in Floer homology and quantum homology
• Arnold conjecture and Gromov-Witten invariant
• Coherent orientations for periodic orbit problems in symplectic geometry
• Associativity of quantum multiplication
• Symplectic fixed points and holomorphic spheres
• Bott-type symplectic Floer cohomology and its multiplication structures
• Transversality in elliptic Morse theory for the symplectic action