The topological period-index problem over 8-complexes, II

Gu, Xing

doi:10.1090/proc/15112

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The topological period-index problem over 8-complexes, II

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Gu, Xing
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1090/proc/15112
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arXiv:1803.05100.pdf
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Citation

Gu, X. (2020). The topological period-index problem over 8-complexes, II. Proceedings of the American Mathematical Society, 148(10), 4531-4545. doi:10.1090/proc/15112.

Cite as: http://hdl.handle.net/21.11116/0000-0007-999B-E

Abstract

We complete the study of the topological period-index problem over 8 dimensional finite CW complexes started in a preceding paper. More precisely, we determine the sharp upper bound of the index of a topological Brauer class $\alpha\in H^3(X;\mathbb{Z})$, where $X$ is of the homotopy type of an 8 dimensional finite CW complex and the period of $\alpha$ is divisible by 4.