Topological complexity, fibrations and symmetry

Details Topological complexity, fibrations and symmetry Topological complexity, fibrations and symmetry

2011-04-14

arxiv.org/abs/1104.2755v4

Mathematics

Algebraic Topology

Final version, to appear in Topology and its Applications

Scientific paper

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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