The Arnold conjecture for a product of monotone manifolds and Calabi-Yau manifolds

DOI10.1007/BF02560019zbMath0889.58035WikidataQ123183704 ScholiaQ123183704MaRDI QIDQ4354967

Guang-Cun Lu

Publication date: 6 November 1997

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsHamiltonian systemsFloer homologyBetti numbersArnold conjecture

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Examples of symplectic structures
• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Symplectic fixed points and holomorphic spheres
• On the Arnold conjecture for weakly monotone symplectic manifolds
• Elliptic methods in symplectic geometry
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
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