INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
BANACH CENTER
PUBLICATIONS
ISSN: 0137-6934(p) 1730-6299(e)
Topological complexity of motion planning and Massey products
Mark Grant1 Banach Center Publ. 85 (2009), 193-203
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.
