 
Summary: ON INDEPENDENT RIGID CLASSES IN H
(WUq)
TARO ASUKE
Abstract. We introduce a family of rigid, linearly independent classes
of H
(WUq). The family is different from the one studied by Hurder in
[7], and some of the classes are decomposed into products of elements of
H
(WUq). We will show the independence by examining of a complexifica
tion of Baker's example in [2].
Introduction
One of classical questions in the study of secondary characteristic classes
of foliations is that to determine the kernel and the image of the character
istic homomorphism. For example, if there are linearly dependent classes,
then the relations belong to the kernel. If transversely holomorphic foliations
are studied, these questions concern the mappings H
(WUq) H
(BC
q ) or
H
