Geodesic
Constructions of self-maps of $\operatorname{SU}(4)$ via Postnikov towers
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 387-399.

Voir la notice de l'article provenant de la source International Press of Boston

Cohomology operations restrict the degree of a self-map of $\operatorname{SU}(4)$ to be either odd or a multiple of $8$; we find self-maps realizing these possible degrees. The notion of the degree of a self-map can be refined to a notion of multidegree which records the effect of the self-map on each of the generators of $H^{\star} (\operatorname{SU}(4))$. We find restrictions on the possible multidegrees of self-maps of $\operatorname{SU}(4)$ and, via Postnikov towers, build self-maps stage-by-stage realizing the possible multidegrees.
DOI : 10.4310/HHA.2020.v22.n2.a23
Classification : 55M25, 57N65, 57T10
Keywords: mapping degree sets, Postnikov towers 
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     author = {Jim Fowler and Chris Kennedy},
     title = {Constructions of self-maps of $\operatorname{SU}(4)$ via {Postnikov} towers},
     journal = {Homology, homotopy, and applications},
     pages = {387--399},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2020},
     doi = {10.4310/HHA.2020.v22.n2.a23},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a23/}
}
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Jim Fowler; Chris Kennedy. Constructions of self-maps of $\operatorname{SU}(4)$ via Postnikov towers. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 387-399. doi : 10.4310/HHA.2020.v22.n2.a23. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a23/

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