On independent rigid classes in $H^{*}(operatorname{WU}_{q})$

摘要

We introduce a family of rigid, linearly independent classes in $H^{*}(operatorname{WU}_{q})$. The family is different from the one studied by Hurder in ( Invent. Math. 66 (1982), 313–323), and some of the classes are decomposed into products of elements of $H^{*}(operatorname{WU}_{q})$. We will show the independence by examining a complexification of Baker’s example in ( Comment. Math. Helv. 53 (1978), 334–363).