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Surgery is the most effective way of constructing manifolds. This is§especially true in dimensions 3 and 4, where Kirby calculus provides a§method for manipulating surgery diagrams. The groundbreaking results§of Donaldson (on Lefschetz fibrations) and Giroux (on open bookdecompositions) now allow one to incorporate analytic§structures into these diagrams: symplectic or Stein structures§in the 4-dimensional case, contact structures in the 3-dimensional§situation. This volume gives an introduction to the§surgery techniques adapted to these additional structures.§The necessary topological background on Lefschetz fibrations and open§book decompositions is developed in the book. Also included are§rapid introductions to the basics and applications of§Seiberg--Witten and Heegaard Floer theories.
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