Ricci flow with surgery on three-manifolds

By Г.Я. Перельман. 2003

67 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Uniqueness of the Ricci flow on complete noncompact manifolds (2005, background): “In thelaterof80’s, Shi[20]generalized the localexistence result to com plete noncom pact m anifolds.”
The role of self-similarity in singularities of partial differential equations (2008, methodology): “Perelman sketched a proof of the full geometrization conjecture in 2003 using Ricci flow with surgery [116].”
Automorphic forms and rational homology 3--spheres (2005, methodology): “In the next paper in this volume, Boston and Ellenberg apply pro–p techniques to our examples and show that our result is true unconditionally.”
Recent progress on the Poincaré conjecture and the classification of 3-manifolds (2004, background): “BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 42, Number 1, Pages 57–78 S 0273-0979(04)01045-6 Article electronically published on October 29, 2004”