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arXiv · 1612.05175

Higher Hochschild homology is not a stable invariant

Bjørn Ian Dundas·Andrea Tenti
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Abstract

Higher Hochschild homology is the analog of the homology of spaces, where the context for the coefficients -- which usually is that of abelian groups -- is that of commutative algebras. Two spaces that are equivalent after a suspension have the same homology. We show that this is not the case for higher Hochschild homology, providing a counterexample to a behavior so far observed in stable homotopy theory.

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Bjørn Ian Dundas, Andrea Tenti. 2016-12-15. Higher Hochschild homology is not a stable invariant. https://arxiv.org/abs/1612.05175

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