Grigori Perelman - Bibliography

Bibliography

Dissertation

• Перельман, Григорий Яковлевич (1990) (in Russian). Седловые поверхности в евклидовых пространствах (Saddle surfaces in Euclidean spaces): Автореф. дис. на соиск. учен. степ. канд. физ.-мат. наук. Ленинградский государственный университет.

Research papers

• Burago, Yu. D.; Gromov, M. L.; Perelman, G. Ya. (1992). "A. D. Aleksandrov spaces with curvatures bounded below". Russian Mathematical Surveys 47 (2): 1–58. doi:10.1070/RM1992v047n02ABEH000877.
• Perelman, G. (1993). "Construction of manifolds of positive Ricci curvature with big volume and large Betti numbers" (PDF). Comparison Geometry 30: 157–163. http://www.msri.org/publications/books/Book30/files/perricci.pdf. Retrieved 2006-08-23.
• Perelman, G. (1994). "Proof of the soul conjecture of Cheeger and Gromoll". J. Differential Geom. 40 (1): 209–212. MR 1285534. http://intlpress.com/JDG/archive/pdf/1994/40-1-209.pdf.
• Perelman, G. (1993). "Collapsing with No Proper Extremal Subsets". Comparison Geometry 30: 157–163. http://www.msri.org/publications/books/Book30.
• Perelman, G. (1994). "Elements of Morse theory on Aleksandrov spaces" (in Russian). St. Petersbg. Math. J. 5 (1): 205–213. http://mi.mathnet.ru/eng/aa374.
• Perelman, G. Ya.; Petrunin, A. M. (1994). "Extremal subsets in Alexandrov spaces and the generalized Liberman theorem" (in Russian). Saint Petersburg Math. J. 5 (1): 215–227. http://mi.mathnet.ru/eng/aa375.

Proof of the geometrization conjecture

• Perelman, Grisha (11 November 2002). "The entropy formula for the Ricci flow and its geometric applications". arXiv:math.DG/0211159 .
• Perelman, Grisha (10 March 2003). "Ricci flow with surgery on three-manifolds". arXiv:math.DG/0303109 .
• Perelman, Grisha (17 July 2003). "Finite extinction time for the solutions to the Ricci flow on certain three-manifolds". arXiv:math.DG/0307245 .

Books about Perelman

• Masha Gessen (2009). Perfect Rigor: A Genius and the Mathematical Breakthrough of the Century. Houghton Mifflin Harcourt. pp. 256. ISBN 978-0-15-101406-4. Story of Grigory Perelman based on information from people who interacted with him.