Mémoires de la Société Mathématique de France 2007; 114 pp; softcover Number: 110 ISBN10: 2856292518 ISBN13: 9782856292518 List Price: US$40 Individual Members: US$36 Order Code: SMFMEM/110
 The author defines Nahm transform for parabolic integrable connections with regular singularities and one Poincaré rank \(1\) irregular singularity on the Riemann sphere. After a first definition using \(L^2\)cohomology, he gives an algebraic description in terms of hypercohomology. Exploiting these different interpretations, he gives the transformed object by explicit analytic formulas as well as geometrically, by its spectral curve. Finally, he shows that this transform is (up to a sign) an involution. 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 and topology. Table of Contents  Introduction
 Notations and statement of the results
 Analysis of the Dirac operator
 The transform of the integrable connection
 Interpretation from the point of view of Higgs bundles
 The inverse transform
 Index
 Bibliography
