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arXiv · 1709.00787

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

Xing Gu
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Abstract

We study the Postnikov tower of the classifying space of a compact Lie group P(n,mn), which gives obstructions to lifting a topological Brauer class of period $n$ to a PU_{mn}-torsor, where the base space is a CW complex of dimension 8. Combined with the study of a twisted version of Atiyah-Hirzebruch spectral sequence, this solves the topological period-index problem for CW complexes of dimension 8.

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Xing Gu. 2017-09-04. The Topological Period-Index Problem over 8-Complexes, I. https://doi.org/10.1112/topo.12119

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