Topological complexity, fibrations and symmetry |
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Authors: | Mark Grant |
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Affiliation: | School of Mathematics, The University of Edinburgh, King?s Buildings, Edinburgh, EH9 3JZ, UK |
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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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Keywords: | primary, 55M99 secondary, 55M30, 57S15, 68T40 |
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