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تسجيل مستخدم جديدHurewicz Images of Real Bordism Theory and Real Johnson-Wilson Theories
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We show that the Hopf elements, the Kervaire classes, and the $bar{kappa}$-family in the stable homotopy groups of spheres are detected by the Hurewicz map from the sphere spectrum to the $C_2$-fixed points of the Real Brown-Peterson spectrum. A subset of these families is detected by the $C_2$-fixed points of Real Johnson-Wilson theory $Emathbb{R}(n)$, depending on $n$.
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