Talk:Kervaire-Milnor Braid (Ex)

$\displaystyle \def\curv{1.5pc} \xymatrix{ \pi_8(O) \ar[dr] \ar@/u\curv/[rr] && \Omega_8^{fr} \ar[dr] \ar@/u\curv/[rr] && L_8(\Z) \ar[dr]\ar@/u\curv/[rr] &&\Theta_7 \ar[dr]\ar@/u\curv/[rr]&& \pi_6(O) \ar[dr] \ar@/u\curv/[rr] && \Omega_6^{fr} \ar[dr] \ar@/u\curv/[rr] && L_6(\Z) \ar[dr]\ar@/u\curv/[rr] &&\Theta_5 \ar[dr]\ar@/u\curv/[rr]&& \pi_{4}(O) \ar[dr] \ar@/u\curv/[rr] && \pi_{4}^S \\ & \Theta_{8}^{fr} \ar[dr] \ar[ur] && \Omega^{alm}_8 \ar[dr] \ar[ur] && \Theta_{7}^{fr} \ar[dr] \ar[ur] && \Omega^{alm}_7 \ar[dr] \ar[ur] && \Theta_{6}^{fr} \ar[dr] \ar[ur] && \Omega^{alm}_6 \ar[dr] \ar[ur] && \Theta_{5}^{fr} \ar[dr] \ar[ur] && \Omega^{alm}_5 \ar[dr] \ar[ur] && \Theta_{4}^{fr} \ar[dr] \ar[ur] & \\ L_9(\Z) \ar[ur] \ar@/d\curv/[rr] && \Theta_8 \ar[ur] \ar@/d\curv/[rr] && \pi_7(O) \ar[ur] \ar@/d\curv/[rr] &&\Omega_7^{fr} \ar[ur]\ar@/d\curv/[rr] && L_7(\Z) \ar[ur] \ar@/d\curv/[rr] && \Theta_6 \ar[ur] \ar@/d\curv/[rr] && \pi_5(O) \ar[ur] \ar@/d\curv/[rr] &&\Omega_5^{fr} \ar[ur]\ar@/d\curv/[rr] && L_5(\Z) \ar[ur] \ar@/d\curv/[rr] && \Theta_{4} }$