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

Gustavo Granja

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

Algebraic Topology 2014-06-23 v3

Authors: Gustavo Granja

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.

Keywords

self maps quaternionic projective spaces unstable adams spectral sequence obstruction theory homology classification

Cite

@article{arxiv.math/0305315,
  title  = {Self maps of HP^n via the unstable Adams spectral sequence},
  author = {Gustavo Granja},
  journal= {arXiv preprint arXiv:math/0305315},
  year   = {2014}
}

Comments

13 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

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