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arXiv · 1705.02810

The homotopy limit problem and the cellular Picard group of Hermitian $K$-theory

Drew Heard
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Abstract

We use descent theoretic methods to solve the homotopy limit problem for Hermitian $K$-theory over quasi-compact and quasi-separated base schemes. As another application of these descent theoretic methods, we compute the cellular Picard group of 2-complete Hermitian $K$-theory over $\mathop{Spec}(\mathbb{C})$, showing that the only invertible cellular spectra are suspensions of the tensor unit.

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Drew Heard. 2017-05-08. The homotopy limit problem and the cellular Picard group of Hermitian $K$-theory. https://doi.org/10.2140/akt.2021.6.137

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