Mathematical Society of Japan Memoirs

Godbillon-Vey Class of Transversely Holomorphic Foliations

Taro Asuke

Book information

Author
Taro Asuke

Publication information
MSJ Memoirs, Volume 24
Tokyo, Japan: The Mathematical Society of Japan, 2010
130 pp.

Dates
Publication date: 2010
First available in Project Euclid: 11 December 2014

Permanent link to this book
https://projecteuclid.org/euclid.msjm/1418313739

Digital Object Identifier:
doi:10.2969/msjmemoirs/024010000

ISBN:
978-4-931469-61-7

Zentralblatt MATH:
1206.57032

Mathematical Reviews (MathSciNet):
MR2663329

Subjects
Primary: 58H10: Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) [See also 57R32]
Secondary: 57R32: Classifying spaces for foliations; Gelfand-Fuks cohomology [See also 58H10] 32S65: Singularities of holomorphic vector fields and foliations 53C12: Foliations (differential geometric aspects) [See also 57R30, 57R32] 32G05: Deformations of complex structures [See also 13D10, 16S80, 58H10, 58H15] 58H15: Deformations of structures [See also 32Gxx, 58J10]

Keywords
Foliations Transverse holomorphic structure Characteristic classes Godbillon-Vey class Bott class Deformations Infinitesimal derivatives Rigidity

Rights
Copyright © 2010, The Mathematical Society of Japan

Citation
Taro Asuke, Godbillon-Vey Class of Transversely Holomorphic Foliations (Tokyo: The Mathematical Society of Japan, 2010)

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Abstract

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.