Lecture notes

Lecture notes were taken by three different scribes: notes version 1, notes version 2, or notes version 3.


Recent articles:

  1. Grisha Perelman, The entropy formula for the Ricci flow and its geometric applications, math.DG/0211159.
  2. Grisha Perelman, Ricci flow with surgery on three-manifolds, math.DG/0303109.
  3. Grisha Perelman, Finite extinction time for the solutions to the Ricci flow on certain three-manifolds, math.DG/0307245.
  4. Huai-Dong Cao and Xi-Ping Zhu, A complete proof of the Poincaré and geometrization conjectures---application of the Hamilton-Perelman theory of the Ricci flow, Asian J. Math. 10 (2006), no. 2, 165-492.
  5. John W. Morgan and Gang Tian, Ricci Flow and the Poincare Conjecture, math.DG/0607607.

Some surveys:

  1. William P. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 357-381.
  2. Peter Scott, The geometries of $3$-manifolds, Bull. London Math. Soc. 15 (1983), no. 5, 401-487.
  3. Huai-Dong Cao and Bennett Chow, Recent developments on the Ricci flow, Bull. Amer. Math. Soc. (N.S.) 36 (1999), no. 1, 59-74.
  4. John Milnor, Towards the Poincaré conjecture and the classification of 3-manifolds, Notices Amer. Math. Soc. 50 (2003), no. 10, 1226-1233.
  5. Michael T. Anderson, Geometrization of 3-manifolds via the Ricci flow, Notices Amer. Math. Soc. 51 (2004), no. 2, 184-193.
  6. John W. Morgan, Recent progress on the Poincaré conjecture and the classification of 3-manifolds, Bull. Amer. Math. Soc. (N.S.) 42 (2005), no. 1, 57-78 (electronic).

A related physics paper:

  1. Matthew Headrick and Toby Wiseman, Ricci flow and black holes, hep-th/0606086.