Topological complexity of motion planning and Massey products

Details Topological complexity of motion planning and Massey products Topological complexity of motion planning and Massey products

2007-09-14

arxiv.org/abs/0709.2287v2

Mathematics

Algebraic Topology

11 pages; minor revisions and 1 added reference; to appear in the Proceedings of the M. M. Postnikov Memorial Conference

Scientific paper

We employ Massey products to find sharper lower bounds for the Schwarz genus
of a fibration than those previously known. In particular we give examples of
non-formal spaces $X$ for which the topological complexity $\TC(X)$ (defined to
be the genus of the free path fibration on $X$) is greater than the
zero-divisors cup-length plus one.

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