A topological obstruction to existence of quaternionic Plucker map

Details A topological obstruction to existence of quaternionic Plucker map A topological obstruction to existence of quaternionic Plucker map

2001-11-02

arxiv.org/abs/math/0111028v3

Geometric aspects of functional analysis, 1--7, Lecture Notes in Math., 1850, Springer, Berlin, 2004.

Mathematics

Algebraic Topology

7 pages, minor corrections

Scientific paper

We prove the following statement motivated by the quaternionic linear
algebra: there is no continuous map from the quaternionic Grassmannian to the
quaternionic projective space such that the pull back of the first Pontryagin
class of the tautological bundle over the projective space is equal to the
first Pontryagin class of the tautological bundle over the Grassmannian.

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