Complexification of foliations and complex secondary classes
type: Item
instance of: scholarly article
title: Complexification of foliations and complex secondary classes
zbMATH Open document ID: 1052.57041
author: Taro Asuke
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2003-01-01T00:00:00Z
review text: The paper contains two results: First, using differential graded algebras and classifying spaces, the author gives a spectral sequence which can be used to calculate characteristic classes of transversely holomorphic foliations. Second, he shows that complexification of foliations induces a natural isomorphism in cohomology between certain differential graded algebras, thus showing that the Godbillon-Vey and the Bott classes are related via complexification. This is demonstrated in an explicit example.
Mathematics Subject Classification ID: 57R32
Mathematics Subject Classification ID: 58H10
Mathematics Subject Classification ID: 37F75
zbMATH DE Number: 2016635
zbMATH Keywords: foliations
zbMATH Keywords: secondary characteristic classes
zbMATH Keywords: classifying spaces
reviewed by: Peter Y. H. Pang
MaRDI profile type: Publication
full work available at URL: s00574-003-0011-6
OpenAlex ID: W1986824434
DOI: 10.1007/S00574-003-0011-6
description: scientific article; zbMATH DE number 2016635