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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
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