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arXiv:0709.2287 [math.AT]AbstractReferencesReviewsResources

Topological complexity of motion planning and Massey products

Mark Grant

Published 2007-09-14, updated 2008-01-15Version 2

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.

Comments: 11 pages; minor revisions and 1 added reference; to appear in the Proceedings of the M. M. Postnikov Memorial Conference
Categories: math.AT, math.OC
Subjects: 55M99, 55S30, 68T40
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