English

Higher topological complexity of Artin type groups

Algebraic Topology 2014-11-10 v1

Abstract

We calculate the higher topological complexity TCs_s for the complements of reflection arrangements, in other words for the pure Artin type groups of all finite complex reflection groups. In order to do that we introduce a simple combinatorial criterion of arrangements sufficed for the cohomological low bound for TCs_s to coincide with the dimensional upper bound.

Keywords

Cite

@article{arxiv.1411.1778,
  title  = {Higher topological complexity of Artin type groups},
  author = {Sergey Yuzvinsky},
  journal= {arXiv preprint arXiv:1411.1778},
  year   = {2014}
}

Comments

8 pages, a talk given by the author at the conference "Configuration Spaces" in Cortona in September of 2014

R2 v1 2026-06-22T06:50:40.784Z