English

On The Notions of Mating

Dynamical Systems 2013-07-31 v1 Complex Variables

Abstract

The different notions of matings of pairs of equal degree polynomials are introduced and are related to each other as well as known results on matings. The possible obstructions to matings are identified and related. Moreover the relations between the polynomials and their matings are discussed and proved. Finally holomorphic motion properties of slow-mating are proved.

Keywords

Cite

@article{arxiv.1307.7934,
  title  = {On The Notions of Mating},
  author = {Carsten Lunde Petersen and Daniel Meyer},
  journal= {arXiv preprint arXiv:1307.7934},
  year   = {2013}
}

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28 pages