Topological complexity of motion planning and Massey products

Mark Grant

Topological complexity of motion planning and Massey products

Algebraic Topology 2008-01-15 v2 Optimization and Control

Authors: Mark Grant

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.

Keywords

topological complexity motion planning massey products schwarz genus fibration non-formal spaces zero-divisors cup-length

Cite

@article{arxiv.0709.2287,
  title  = {Topological complexity of motion planning and Massey products},
  author = {Mark Grant},
  journal= {arXiv preprint arXiv:0709.2287},
  year   = {2008}
}

Comments

11 pages; minor revisions and 1 added reference; to appear in the Proceedings of the M. M. Postnikov Memorial Conference

Topological complexity of motion planning and Massey products

Abstract

Keywords

Cite

Comments

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