Topological complexity of motion planning and Massey products
Mark Grant
Banach Center Publications, Tome 86 (2009), p. 193-203 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:282577 
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     title = {Topological complexity of motion planning and Massey products},
     journal = {Banach Center Publications},
     volume = {86},
     year = {2009},
     pages = {193-203},
     zbl = {1168.55003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-14}
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Mark Grant. Topological complexity of motion planning and Massey products. Banach Center Publications, Tome 86 (2009) pp. 193-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-14/