Equivariant maps related to the topological Tverberg conjecture

Samik Basu; Surojit Ghosh

Equivariant maps related to the topological Tverberg conjecture

Algebraic Topology 2016-07-22 v2 Combinatorics

Authors: Samik Basu , Surojit Ghosh

Abstract

Using equivariant obstruction theory we construct equivariant maps from certain classifying spaces to representation spheres for cyclic groups, product of elementary Abelian groups and dihedral groups. Restricting them to finite skeleta constructs equivariant maps between spaces which are related to the topological Tverberg conjecture. This answers negatively a question of \"Ozaydin posed in relation to weaker versions of the same conjecture. Further, it also has consequences for Borsuk-Ulam properties of representations of cyclic and dihedral groups.

Keywords

equivariant maps topological Tverberg conjecture equivariant obstruction theory classifying spaces representation spheres cyclic groups dihedral groups Borsuk-Ulam properties

Cite

@article{arxiv.1510.01470,
  title  = {Equivariant maps related to the topological Tverberg conjecture},
  author = {Samik Basu and Surojit Ghosh},
  journal= {arXiv preprint arXiv:1510.01470},
  year   = {2016}
}

Comments

To appear in "Homology Homotopy and Applications"

Equivariant maps related to the topological Tverberg conjecture

Abstract

Keywords

Cite

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