On the mod p Lannes-Zarati homomorphism

2015/01/30 by Phan H. Chon, Chon, Phan H., Dong T. Triet +1
Mathematics · #55Q45 #55T15 #Algebraic Topology (math.AT) #FOS: Mathematics #Primary 55P47 #Secondary 55S10 #math.AT #msc:55P47 #msc:55Q45 #msc:55S10 #msc:55T15

paper · pdf · doi:10.48550/arxiv.1501.07698

This paper has been withdrawn by the authors because the results have already been done by others

arxiv created 2016/01/20 · arxiv updated 2016/01/21

Abstract

The mod 2 Lannes-Zarati homomorphism was constructed in \citeLan-Zar87, which is considered as a graded associated version of the mod 2 Hurewicz map in the E₂-term of Adams spectral sequence. The map is studied by many authors such as Lannes-Zarati \citeLan-Zar87, H\hornung \citeHung97, \citeHung2001, \citeHung2003, H\hornung et. al. \citeHung.et.al2014, Ch\hornon-Tri'êt \citeChon.Triet2014. In this paper, we construct an analogue φ_s for p odd, and we also investigate the behavior of this map for s≤ 3.

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