PreprintCC BY 4.0arXiv
A β-motivic w1-self-map of periodicity 1
Abstract
Let DY = π/(Ξ·, Ξ½) β SH(β). We construct a w1-self-map of periodicity 1 w:Ξ£5,3DY β DY. The cofiber is a realization of DA(1), the double of the subalgebra A(1) of the β-motivic Steenrod algebra A.
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BibTeX
@misc{morris2026βmotivic,
title = {{A $\mathbbC$-motivic $w_1$-self-map of periodicity 1}},
author = {Jackson Morris},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22651},
eprint = {2610.22651},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22651},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A β-motivic w_1-self-map of periodicity 1
AU - Jackson Morris
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22651
UR - https://arxiv.org/abs/2610.22651
AB - Let DY = π/(Ξ·, Ξ½) β SH(β). We construct a w_1-self-map of periodicity 1 w:Ξ£^5,3DY β DY. The cofiber is a realization of DA(1), the double of the subalgebra A(1) of the β-motivic Steenrod algebra A.
ER -