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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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Fillings of Contact 3-Manifolds, tightness is proved by computing contact Ozsváth-Szabó invariants (see Chapter 14). In the last section we will concentrate on topological restrictions a contact 3-manifold imposes on its Stein fillings.
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Appendix: Seiberg-Witten Invariants,ting turns out to be very useful in the study of contact topological problems. The last section is devoted to a discussion centering around the adjunction inequality. For a more complete discussion of the topics appearing in this chapter the reader is advised to turn to [21, 119, 126, 149].
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Symplectic 4-Manifolds,oof of numerous fundamental statements discussed in the text. The chapter concludes with a short review on what is known about the classification of symplectic 4-manifolds. For a more detailed treatment of symplectic geometry and topology the reader is advised to turn to [111]; here we restrict our
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Convex Surfaces in Contact 3-Manifolds, out in Chapter 4, for a given surface Σ ⊂ (., .) the characteristic foliation .. determines the contact structure near Σ. But it is not easy to describe or relate characteristic foliations. It turns out that the same information can be captured by certain configurations of curves on the surface at
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Spin, Structures on 3- and 4-Manifolds, — such as Seiberg-Witten and Ozsváth-Szabó invariants — are defined for spin. 3- and 4-manifolds. This chapter is devoted to the review of spin. structures — 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
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