Geodesic
On the periodic v2–self-map of A1
Bhattacharya, Prasit1 ; Egger, Philip2 ; Mahowald, Mark3
1Department of Mathematics, University of Notre Dame, 106 Hayes-Healy Hall, Notre Dame, IN 46556, United States
2Department of Mathematics, Pennsylvania State University, 235 McAllister, University Park, PA 16802, United States
3Department of Mathematics, Northwestern University, Evanston, IL 60208, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 657-692
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The spectrum Y := M2(1) ∧ Cη admits eight v1-self-maps of periodicity 1. These eight self-maps admit four different cofibers, which we denote by A1[ij] for i,j ∈{0,1}. We show that each of these four spectra admits a v2-self-map of periodicity 32.

DOI : 10.2140/agt.2017.17.657
Classification : 55Q51
Keywords: stable homotopy, $v_2$-periodicity

Bhattacharya, Prasit  1   ; Egger, Philip  2   ; Mahowald, Mark  3

1 Department of Mathematics, University of Notre Dame, 106 Hayes-Healy Hall, Notre Dame, IN 46556, United States
2 Department of Mathematics, Pennsylvania State University, 235 McAllister, University Park, PA 16802, United States
3 Department of Mathematics, Northwestern University, Evanston, IL 60208, United States 
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Bhattacharya, Prasit; Egger, Philip; Mahowald, Mark. On the periodic v2–self-map of A1. Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 657-692. doi: 10.2140/agt.2017.17.657

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