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arXiv · 1004.3172

Contact structures and geometric topology

Hansjörg Geiges
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Abstract

This is a survey on contact open books and contact Dehn surgery. The relation between these two concepts is discussed, and various applications are sketched, e.g. the monodromy of Stein fillable contact 3-manifolds, the Giroux-Goodman proof of Harer's conjecture on fibred links, construction of symplectic caps to fillings (Eliashberg, Etnyre), and detection of non-loose Legendrian knots with the help of contact surgery.

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Hansjörg Geiges. 2010-04-19. Contact structures and geometric topology. https://arxiv.org/abs/1004.3172

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