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

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

2005-06-23

arxiv.org/abs/math/0506472v1

Expo. Math. 24 (2006), 273-280

Mathematics

Symplectic Geometry

9 pages

Scientific paper

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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