Topological complexity of motion planning and Massey products
Volume 85 / 2009
Banach Center Publications 85 (2009), 193-203
MSC: Primary 55M99, 55S30; Secondary 68T40.
DOI: 10.4064/bc85-0-14
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 ${\bf TC}(X)$ (defined to be the genus of the free path fibration on $X$) is greater than the zero-divisors cup-length plus one.
