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On topological Hochschild homology of the $K(1)$-local sphere

Published 2 Dec 2016 in math.AT and math.KT | (1612.00548v3)

Abstract: We compute topological Hochschild homology mod $p$ and $v_1$ of the connective cover of the $K(1)$-local sphere spectrum for all primes $p\ge 3$. This is accomplished using a May-type spectral sequence in topological Hochschild homology constructed from a filtration of a commutative ring spectrum.

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