A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow

  title={A Complete Proof of the Poincar{\'e} and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow},
  author={Huai-Dong Cao and Xiping Zhu},
  journal={Asian Journal of Mathematics},
In this paper, we give a complete proof of the Poincare and the geometrization conjectures. This work depends on the accumulative works of many geometric analysts in the past thirty years. This proof should be considered as the crowning achievement of the Hamilton-Perelman theory of Ricci flow. 
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