By Alexandru Oancea
Summary. the aim of this paper is to offer a survey of some of the models
of Floer homology for manifolds with touch variety boundary that experience up to now
appeared within the literature. below the identify of "Symplectic homology" or "Floer
homology for manifolds with boundary" they endure actually universal positive factors
and we will try and underline the rules that unite them. as soon as this can
be comprehensive we will continue to explain the peculiarity of every of the
constructions and the categorical purposes that spread out of it: type
of ellipsoids and polydiscs in en, balance of the motion spectrum for touch
type barriers of symplectic manifolds, lifestyles of closed features on
contact style hypersurfaces. The computation of the Floer cohomology for balls
in en is performed via explicitly perturbing the nondegenerate Morse-Bott
spheres of closed features.
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