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arXiv · 2101.04891

Cofreeness in Real Bordism Theory and the Segal Conjecture

Christian Carrick
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Abstract

We prove that the genuine $C_{2^n}$-spectrum $N_{C_{2}}^{C_{2^n}}MU_{\mathbb{R}}$ is cofree, for all $n$. Our proof is a formal argument using chromatic hypercubes and the Slice Theorem of Hill, Hopkins, and Ravenel. We show that this gives a new proof of the Segal conjecture for $C_2$, independent of Lin's theorem.

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Christian Carrick. 2021-01-13. Cofreeness in Real Bordism Theory and the Segal Conjecture. https://arxiv.org/abs/2101.04891

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