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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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Open Books and Contact Structures,ntact structures (up to isotopy) and open book decompositions (up to positive stabilization/destabilization) on a closed oriented 3-manifold. This chapter is devoted to the introduction of relevant notions and also some parts of the proof of this beautiful correspondence.
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https://doi.org/10.1007/978-3-662-10167-43-manifolds; Contact Geometry; Contact Surgery; Stein Surfaces; Topology; mapping; combinatorics
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978-3-642-06184-4Springer-Verlag Berlin Heidelberg 2004
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Surgery on Contact 3-Manifolds and Stein Surfaces978-3-662-10167-4Series ISSN 1217-4696 Series E-ISSN 2947-9460
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1217-4696 be­ tween contact structures and open book decompositions - brought a top­ ological flavor to global symplectic and contact geometry. This topological aspect is strengthened by the existing results of Weinstein and Eliashberg (and Gompf in dimension 4) on handle attachment in the symplectic and Stei
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Appendix: Heegaard Floer Theory,ome standard constructions in Floer homology. After presenting the surgery triangles for this theory, we outline the definition of the contact Ozsváth-Szabó invariants and verify some of the basic properties of this very sensitive invariant. A few model computations are also given.
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Spin, Structures on 3- and 4-Manifolds,ctures — with a special emphasis on the 3- and 4-dimensional case. Throughout this chapter we will assume that the reader is familiar with the basics of the theory of characteristic classes. (For an excellent reference see [116].) For a more complete treatment of spine structures the reader is advised to turn to [113].
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