Self maps of HP^n via the unstable Adams spectral sequence

Abstract

We use obstruction theory based on the unstable Adams spectral sequence to construct self maps of finite quaternionic projective spaces. As a result, a conjecture of Feder and Gitler regarding the classification of self maps up to homology is proved in two new cases.

arXiv comment13 pages, 2 figures, 1 table. Made some more minor corrections and added a lot more discussion of the main result and detail to the proof