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Notes on Perelman's papers

Bruce Kleiner and John Lott

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].

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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
Bruce Kleiner
Department of Mathematics
Yale University
New Haven, CT 06520-8283
USA
John Lott
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1109
USA