Abstract
The object of this paper is to study the ring &2sP of cobordism classes of manifolds whose stable normal (or tangent) bundle reduces to the symplectic group (admits the structure of a quaternionic vector bundle). This ring was studied by Novikov [7] who showed that 2sP (g? Z[1] is a polynomial algebra over Z[?i isomorphic to the ring 7s?O (? Z], where 9410 is the oriented cobordism ring. In addition, he examined the ring &2YsP in low dimensions. Using the Adams spectral sequence, Liulevicius [5] has computed the low groups which are:
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