GODBILLON-VEY CLASS OF TRANSVERSELY HOLOMORPHIC FOLIATIONS

This volume provides a study of the Godbillon–Vey class and other real secondary characteristic classes of transversely holomorphic foliations. One of the main tools in the study is complex secondary characteristic classes. Intended to be self-contained and introductory, this volume contains a brief survey of the theory of secondary characteristic classes of transversely holomorphic foliations. A construction of secondary characteristic classes of families of such foliations is also included. By means of these classes, new proofs of the rigidity of the Godbillon–Vey class in the category of transversely holomorphic foliations are given.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets