Topological complexity of motion planning and Massey products

Abstract

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.

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

References in corpus (1)

• Joins of DGA modules and sectional category

Cited by in corpus (1)

• Topological complexity of configuration spaces