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.
Mathematics Subject Classification (2000):
- 46-06
- 46B07
- 52-06 60-06
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin/Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-540-44489-3_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22360-3
Online ISBN: 978-3-540-44489-3
eBook Packages: Springer Book Archive
