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arXiv · 1104.2755

Topological complexity, fibrations and symmetry

Mark Grant
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Abstract

We show how locally smooth actions of compact Lie groups on a manifold $X$ can be used to obtain new upper bounds for the topological complexity $\TC(X)$, in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups.

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Mark Grant. 2011-04-14. Topological complexity, fibrations and symmetry. https://arxiv.org/abs/1104.2755

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