English

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

Symplectic Geometry 2007-05-23 v1 Geometric Topology

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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Cite

@article{arxiv.math/0506472,
  title  = {Contact Dehn surgery, symplectic fillings, and Property P for knots},
  author = {Hansjörg Geiges},
  journal= {arXiv preprint arXiv:math/0506472},
  year   = {2007}
}

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9 pages