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A survey of Floer homology for manifolds with contact type boundary or symplectic homology
عنوان کتاب: A survey of Floer homology for manifolds with contact type boundary or symplectic homology
مولف: Alexandru Oancea
ناشر: Sociedade Brasileira de Matemática
زبان: English
سال: 2004
شابک:
حجم فایل: 526.67 KB
نوع فایل: djvu
تعداد صفحات: 41
Abstract. The purpose of this paper is to give a survey of the various versions
of Floer homology for manifolds with contact type boundary that have so far
appeared in the literature. Under the name of "Symplectic homology" or "Floer
homology for manifolds with boundary" they bear in fact common features
and we shall try to underline the principles that unite them. Once this will
be accomplished we shall proceed to describe the peculiarity of each of the
constructions and the specific applications that unfold out of it: classification
of ellipsoids and polydiscs in en, stability of the action spectrum for contact
type boundaries of symplectic manifolds, existence of closed characteristics on
contact type hypersurfaces. The computation of the Floer cohomology for balls
in en is carried out by explicitly perturbing the nondegenerate Morse-Bott
spheres of closed characteristics.
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