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Paper detail

Invariant spanning trees for quadratic rational maps

We study Thurston equivalence classes of quadratic post-critically finite branched coverings. For these maps, we introduce and study invariant spanning trees. We give a computational procedure for searching for invariant spanning trees. This procedure uses bisets over the fundamental group of a punctured sphere. We also introduce a new combinatorial invariant of Thurston classes - the ivy graph.

preprint2021arXivOpen access
Anastasia ShepelevtsevaVladlen Timorin
math.DS
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Anastasia ShepelevtsevaVladlen Timorin

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