Topological complexity of motion planning and Massey products

Research output: Contribution to journalArticle

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.
Original languageEnglish
Pages (from-to)193-203
Number of pages11
JournalBanach Center Publications
Volume85
DOIs
Publication statusPublished - 2009

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Topological Complexity
Motion Planning
Fibration
Genus
Zero-divisor
Lower bound
Path

Keywords

  • topological complexity
  • Massey products

Cite this

Topological complexity of motion planning and Massey products. / Grant, Mark.

In: Banach Center Publications, Vol. 85, 2009, p. 193-203.

Research output: Contribution to journalArticle

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