Topological complexity of motion planning and Massey products

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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

Keywords

  • topological complexity
  • Massey products

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