This volume, the first in a two-volume set, contains original research articles on various aspects of differential geometry, analysis on manifolds, complex geometry, algebraic geometry, number theory and general relativity.

The articles are based on talks presented at the Conference on Differential Geometry, Mathematical Physics, Mathematics and Society, held in honor of Jean-Pierre Bourguignon on the occasion of his 60th birthday. The conference was held from August 27 to 31, 2007 at the Institut des Hautes Études Scientifiques and at the École Polytechnique.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in pure mathematics.

Table of Contents

• J. Simons and D. Sullivan -- Structured bundles define differential \(K\)-theory
• N. Hitchin -- Einstein metrics and magnetic monopoles
• K. Liu, X. Sun, and S.-T. Yau -- Geometry of moduli spaces
• R. L. Bryant -- Gradient Kähler Ricci solitons
• D. Auroux -- Special Lagrangian fibrations, mirror symmetry and Calabi-Yau double covers
• J. Cheeger and B. Kleiner -- Characterization of the Radon-Nikodym property in terms of inverse limits
• X. Chen and Y. Tang -- Test conguration and geodesic rays
• R. Mazzeo -- Flexibility of singular Einstein metrics
• P. T. Chruściel and J. L. Costa -- On uniqueness of stationary vacuum black holes
• H. Omori, Y. Maeda, N. Miyazaki, and A. Yoshioka -- A new nonformal noncommutative calculus: Associativity and finite part regularization