Abstract
Spinc structures turn out to be very useful tools in understanding homotopic properties of contact structures. In addition, gauge theoretic invariants — such as Seiberg-Witten and Ozsváth-Szabó invariants — are defined for spinc 3- and 4-manifolds. This chapter is devoted to the review of spinc 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 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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© 2004 Springer-Verlag Berlin Heidelberg
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Ozbagci, B., Stipsicz, A.I. (2004). Spinc Structures on 3- and 4-Manifolds. In: Surgery on Contact 3-Manifolds and Stein Surfaces. Bolyai Society Mathematical Studies, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10167-4_6
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DOI: https://doi.org/10.1007/978-3-662-10167-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-06184-4
Online ISBN: 978-3-662-10167-4
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