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 Astérisque 2009; 420 pp; softcover Number: 328 ISBN-10: 2-85629-289-5 ISBN-13: 978-2-85629-289-1 List Price: US$135 Member Price: US$108 Order Code: AST/328 See also: From Probability to Geometry (I): Volume in Honor of the 60th Birthday of Jean-Michel Bismut - Xianzhe Dai, Remi Leandre, Xiaonan Ma and Weiping Zhang This is the second of two volumes that contain original research articles submitted by colleagues and friends to celebrate the 60th birthday of Jean-Michel Bismut. These articles cover a wide range of subjects in probability theory, global analysis, and arithmetic geometry to which Jean-Michel Bismut has made fundamental contributions. 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 geometry. Table of Contents J. Brüning -- The signature operator on manifolds with a conical singular stratum U. Bunke and T. Schick -- Smooth $$K$$-theory H. Gillet and F. M. Ünlü -- An explicit proof of the generalized Gauss-Bonnet formula S. Goette -- Torsion invariants for families F. R. Harvey and H. B. Lawson, Jr. -- Boundaries of positive holomorphic chains and the relative Hodge question K. Liu and H. Xu -- Mirzakharni's recursion formula is equivalent to the Witten-Kontsevich theorem V. Maillot and D. Rössler -- Formes automorphes et théorèmes de Riemann-Roch arithmétiques V. Mathai, R. B. Melrose, and I. M. Singer -- The index of projective families of elliptic operators: the decomposable case P.-É. Paradan and M. Vergne -- Index of transversally elliptic operators S. T. Paul and G. Tian -- CM stability and the generalized Futaki invariant II K.-i. Yoshikawa -- Calabi-Yau threefolds of Borcea-Voisin, analytic torsion, and Borcherds products