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Contact Dehn surgery, symplectic fillings, and Property P for knots

Hansjörg Geiges
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Abstract

These are notes of a talk given at the Mathematische Arbeitstagung 2005 in Bonn. Following ideas of Ozbagci-Stipsicz, a proof based on contact Dehn surgery is given of Eliashberg's concave filling theorem for contact 3-manifolds. The role of that theorem in the Kronheimer-Mrowka proof of property P for nontrivial knots is sketched.

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Hansjörg Geiges. 2005-06-23. Contact Dehn surgery, symplectic fillings, and Property P for knots. https://arxiv.org/abs/math/0506472

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