Geometry & Topology 12 (2008) 2587–2855

DOI: 10.2140/gt.2008.12.2587

Abstract

These are detailed notes on Perelman's papers ``The entropy formula for the Ricci flow and its geometric applications'' [arxiv:math.DG/0211159] and ``Ricci flow with surgery on three-manifolds'' [arxiv:math.DG/0303109].

Keywords

Perelman, three-manifold, geometrization theorem, Poincaré Conjecture, Ricci flow, Ricci flow with surgery, entropy formula, long-term behaviour

Mathematical Subject Classification

Primary: 57M40, 57M50

Secondary: 53C21, 53C44

References

Publication

Received: 22 February 2007
Revised: 19 September 2008
Accepted: 11 October 2008
Published: 6 November 2008
Corrected: 23 August 2011
Proposed: Rob Kirby, Gang Tian
Seconded: Dave Gabai, Tom Mrowka

Authors