Titlebook: Surgery on Contact 3-Manifolds and Stein Surfaces; Burak Ozbagci,András I. Stipsicz Book 2004 Springer-Verlag Berlin Heidelberg 2004 3-man

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Appendix: Seiberg-Witten Invariants,ther describe arguments most frequently used in the text. We also review a variant of the theory for 4-manifolds with contact type boundary, which setting turns out to be very useful in the study of contact topological problems. The last section is devoted to a discussion centering around the adjunc

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Appendix: Heegaard Floer Theory,partially) can be computed from surgery diagrams. In this appendix we outline the construction of such invariants — for a complete discussion the reader is referred to the original papers of Ozsváth and Szabó [135, 136, 137, 138]. To set up the stage, first we discuss Ozsváth-Szabó homology groups o

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Introduction,isotoping one of them. In other words, by isotopy we can get rid of “excess intersections”, which are present in the geometric picture but are invisible for algebra. After eliminating these intersections “algebra will govern geometry”, and the smooth classification problem of manifolds can be translated into some (nontrivial) algebraic questions.

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Topological Surgeries,..-) 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].