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arXiv · 1911.07206

On The Topological Period-Index Problem over 8-manifolds

Diarmuid Crowley·Xing Gu·Christian Haesemeyer
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Abstract

We establish upper bounds of the indices of topological Brauer classes over a closed orientable 8-manifolds. In particular, we verify the Topological Period-Index Conjecture (TPIC) for topological Brauer classes over closed orientable 8-manifolds of order not congruent to 2 mod 4. In addition, we provide a counter-example which shows that the TPIC fails in general for closed orientable 8-manifolds.

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Diarmuid Crowley, Xing Gu, Christian Haesemeyer. 2019-11-17. On The Topological Period-Index Problem over 8-manifolds. https://arxiv.org/abs/1911.07206

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