Stably extendible vector bundles over the quaternionic projective spaces
نویسنده
چکیده
We show that, if a quaternionic k-dimensional vector bundle l' over the quaternionic projective space Hpn is stably extendible and its non-zero top Pontrjagin class is not zero mod 2, then l' is stably equivalent to the Whitney sum of k quaternionic line bundles provided k S; n.
منابع مشابه
Characteristic classes of vector bundles over CP ( j ) × HP ( k ) and involutions fixing CP ( 2 m + 1 ) × HP ( k ) ∗
In this paper, we determine the total Stiefel-Whitney classes of vector bundles over the product of the complex projective space CP (j) with the quaternionic projective space HP (k). Moreover, we show that every involution fixing CP (2m+1)×HP (k) bounds. AMS subject classifications: 57R85, 57S17, 55N22
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