Abstract
After the short Prelude given in the introductory chapter we begin our discussion by reviewing the smooth constructions behind contact and Stein surgeries. We assume that the reader is familiar with basics in differential topology as given, for example, in [72]. Standard facts regarding singular homology and cohomology theory will also be used without further explanation. The manifolds appearing in these notes are all assumed to be smooth (i.e., C ∞-) manifolds, possibly with nonempty boundary. The general discussion of handlebodies will be followed by a short overview of Dehn surgeries in dimension three, and an outline of Kirby calculus concludes the chapter. For more details about the ideas and constructions sketched here, see [66].KeywordsHomology ClassLens SpaceContinue Fraction ExpansionHomology SphereSeifert SurfaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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