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The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum
The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum
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The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum
The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum

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The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum
The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum
Paper

The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum

2019
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Overview
We specify exterior generators for \\(\\pi_* THH(MU) = \\pi_*(MU) \\otimes E(\\lambda'_n \\mid n\\ge1)\\) and \\(\\pi_* THH(BP) = \\pi_*(BP) \\otimes E(\\lambda_n \\mid n\\ge1)\\), and calculate the action of the \\(\\sigma\\)-operator on these graded rings. In particular, \\(\\sigma(\\lambda'_n) = 0\\) and \\(\\sigma(\\lambda_n) = 0\\), while the actions on \\(\\pi_*(MU)\\) and \\(\\pi_*(BP)\\) are expressed in terms of the right units \\(\\eta_R\\) in the Hopf algebroids \\((\\pi_*(MU), \\pi_*(MU \\wedge MU))\\) and \\((\\pi_*(BP), \\pi_*(BP \\wedge BP))\\), respectively.
Publisher
Cornell University Library, arXiv.org
Subject