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Introduction The BTSS of ${\rm BSpin}(n)$ and the CTP Listing of results The 1-line of ${\rm Spin}(2n)$ Eta towers $d_3$ on eta towers Fine tuning Combinatorics Comparison with $J$-homology approach Proof of fibration theorem A small resolution for computing ${\rm ext}_{\mathcal…
Introduction Representation theory and $\psi^2$ in $K$-theory Nice form for $\psi^2$ in $PK^1(E_8)_{(5)}$ and $PK^1(X)$ Determination of $v_1^{-1}\pi_{2m}(E_8;5)$ Determination of $v_1^{-1}\pi_{2m-1}(E_8;5)$ Calculation of $v_1^{-1}\pi_\ast(E_8;3)$ LiE program for computing $\la…