Floer homology and Arnold conjecture
نویسندگان
چکیده
منابع مشابه
Rabinowitz Floer Homology and Symplectic Homology
The first two authors have recently defined RabinowitzFloer homology groups RFH∗(M,W ) associated to an exact embedding of a contact manifold (M, ξ) into a symplectic manifold (W,ω). These depend only on the bounded component V of W \ M . We construct a long exact sequence in which symplectic cohomology of V maps to symplectic homology of V , which in turn maps to Rabinowitz-Floer homology RFH∗...
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We prove the Arnold conjecture for compact symplectic manifolds under the assumption that either the first Chern class of the tangent bundle vanishes over π2(M) or the minimal Chern number is at least half the dimension of the manifold. This includes the important class of CalabiYau manifolds. The key observation is that the Floer homology groups of the loop space form a module over Novikov’s r...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1998
ISSN: 0022-040X
DOI: 10.4310/jdg/1214460936