English

Dynnikov and train track transition matrices of pseudo-Anosov braids

Dynamical Systems 2015-06-15 v2

Abstract

We compare the spectra of Dynnikov matrices with the spectra of the train track transition matrices of a given pseudo-Anosov braid on the finitely punctured disk, and show that these matrices are isospectral up to roots of unity and zeros under some particular conditions.

Keywords

Cite

@article{arxiv.1402.4378,
  title  = {Dynnikov and train track transition matrices of pseudo-Anosov braids},
  author = {S. Öykü Yurttaş},
  journal= {arXiv preprint arXiv:1402.4378},
  year   = {2015}
}

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36 pages