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Published on: July 17, 2021
On unstable cohomology classes of SL(Z)
1Department of Mathematics, Yale University, P.O. Box 2155, Yale Station, New Haven, Connecticut 06520.
Abstract:
From algebraic K-theory, we show that there exists a spectral sequence that has real cohomology of SL(n)(Z) as its E(1)-terms and converges to the tensor product of a polynomial algebra and an exterior algebra. On the basis of this spectral sequence, we discovered several families of real unstable cohomology classes of SL(n)(Z).
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