Abstract
It is shown that there is no continuous map from the quaternionic Grassmannian to the quaternionic projective space such that the pullback of the first Pontryagin class of the tautological bundle over is equal to the first Pontryagin class of the tautological bundle over . In fact some more precise statement is proved.
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© 2004 Springer-Verlag Berlin/Heidelberg
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Alesker, S. (2004). A Topological Obstruction to Existence of Quaternionic Plücker Map. In: Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44489-3_1
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DOI: https://doi.org/10.1007/978-3-540-44489-3_1
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