O ct 2 01 4 FLOER TRAJECTORIES AND STABILIZING DIVISORS
نویسنده
چکیده
We incorporate pearly Floer trajectories into the transversality scheme for pseudoholomorphic maps introduced by Cieliebak-Mohnke [12] and further developed by Ionel-Parker [33], Wendl [59], and Gerstenberger [29]. By choosing generic domain-dependent almost complex structures we obtain zero and onedimensional moduli spaces with the structure of cell complexes with rational fundamental classes. This gives a definition of Floer cohomology over Novikov rings via stabilizing divisors for compact symplectic manifolds with rational symplectic classes and Lagrangians that are fixed point sets of anti-symplectic involutions satisfying certain Maslov index conditions, in particular, Hamiltonian Floer cohomology.
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