Witten's conjecture and Property P
几何拓扑
2014-11-11 v5
摘要
Let K be a non-trivial knot in the 3-sphere and let Y be the 3-manifold obtained by surgery on K with surgery-coefficient 1. Using tools from gauge theory and symplectic topology, it is shown that the fundamental group of Y admits a non-trivial homomorphism to the group SO(3). In particular, Y cannot be a homotopy-sphere.
引用
@article{arxiv.math/0311489,
title = {Witten's conjecture and Property P},
author = {P B Kronheimer and T S Mrowka},
journal= {arXiv preprint arXiv:math/0311489},
year = {2014}
}
备注
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper7.abs.html Version 5: links corrected