# Topological Hochschild homology of truncated Brown-Peterson spectra I

@inproceedings{AngeliniKnoll2021TopologicalHH, title={Topological Hochschild homology of truncated Brown-Peterson spectra I}, author={Gabe Angelini-Knoll and Dominic Leon Culver and Eva Honing}, year={2021} }

We compute topological Hochschild homology of sufficiently structured forms of truncated Brown–Peterson spectra with coefficients. In particular, we compute THH∗(taf ;M) for M ∈ {HZ(3), k(1), k(2)} where taf D is the E∞ form of BP 〈2〉 constructed by Hill–Lawson. We compute THH∗(tmf1(3);M) when M ∈ {HZ(2), k(2)} where tmf1(3) is the E∞ form of BP 〈2〉 constructed by Lawson– Naumann. We also compute THH∗(B〈n〉;M) for M = HZ(p) and certain E3 forms B〈n〉 of BP 〈n〉. For example at p = 2, this result…

## One Citation

### Integral topological Hochschild homology of connective complex K-theory

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. We compute the homotopy groups of THH(ku) as a ku ∗ -module using the descent spectral sequence for the map THH(ku) → THH(ku / MU) , which is the motivic spectral sequence for THH(ku) in the sense…

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