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Stein Structures: Existence and Flexibility

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Contact and Symplectic Topology

Part of the book series: Bolyai Society Mathematical Studies ((BSMS,volume 26))

Abstract

This survey on the topology of Stein manifolds is an extract from the book of Cieliebak and Eliashberg (From Stein to Weinstein and Back—Symplectic Geometry of Affine Complex Manifolds, Colloquium Publications, vol. 59, 2012). It is compiled from two short lecture series given by the first author in 2012 at the Institute for Advanced Study, Princeton, and the Alfréd Rényi Institute of Mathematics, Budapest.

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Notes

  1. 1.

    “Problems” in this survey are meant to be reasonably hard exercises for the reader.

  2. 2.

    “Proofs” in this survey are only sketches of proofs; for details see [7].

  3. 3.

    This figure, and all further figures of this Chapter have been taken from our book [7] with the permission of the American Mathematical Society.

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Cieliebak, K., Eliashberg, Y. (2014). Stein Structures: Existence and Flexibility. In: Bourgeois, F., Colin, V., Stipsicz, A. (eds) Contact and Symplectic Topology. Bolyai Society Mathematical Studies, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-02036-5_8

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