Computation of Nielsen and Reidemeister coincidence numbers for multiple maps

Thaís F. M. Monis; Peter Wong

Computation of Nielsen and Reidemeister coincidence numbers for multiple maps

Algebraic Topology 2020-01-22 v1

Authors: Thaís F. M. Monis , Peter Wong

Abstract

Let $f_1,...,f_k:M\to N$ be maps between closed manifolds, $N(f_1,...,f_k)$ and $R(f_1,...,f_k)$ be the Nielsen and the Reideimeister coincidence numbers respectively. In this note, we relate $R(f_1,...,f_k)$ with $R(f_1,f_2),...,R(f_1,f_k)$ . When $N$ is a torus or a nilmanifold, we compute $R(f_1,...,f_k)$ which, in these cases, is equal to $N(f_1,...,f_k)$ .

Keywords

nielsen coincidence number reidemeister coincidence number multiple maps closed manifolds torus nilmanifold

Cite

@article{arxiv.2001.06730,
  title  = {Computation of Nielsen and Reidemeister coincidence numbers for multiple maps},
  author = {Thaís F. M. Monis and Peter Wong},
  journal= {arXiv preprint arXiv:2001.06730},
  year   = {2020}
}

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17 pages

Computation of Nielsen and Reidemeister coincidence numbers for multiple maps

Abstract

Keywords

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