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arXiv · 1803.05100

The Topological Period-Index Problem over 8-Complexes, II

Xing Gu
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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.

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Xing Gu. 2018-03-14. The Topological Period-Index Problem over 8-Complexes, II. https://doi.org/10.1090/proc/15112

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