English

Remarks on Donaldson's symplectic submanifolds

Symplectic Geometry 2018-03-19 v1

Abstract

This paper presents a few remarks about the topology of symplectic hyperplane sections and the geometry of their complements. In particular, it contains a detailed proof of the following result already stated with hints in [Gi]: for sufficiently large degrees, the complements of Donaldson's symplectic hyperplane sections are naturally Weinstein --- and less naturally Stein --- manifolds.

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Cite

@article{arxiv.1803.05929,
  title  = {Remarks on Donaldson's symplectic submanifolds},
  author = {Emmanuel Giroux},
  journal= {arXiv preprint arXiv:1803.05929},
  year   = {2018}
}

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20 pages