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On the classification of critically fixed rational maps

On the classification of critically fixed rational maps

We discuss the dynamical, topological, and algebraic classification of rational maps <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f colon ModifyingAbove double-struck upper C With caret right-arrow ModifyingAbove double-struck upper C With caret"> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>:</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mover> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">C</mml:mi> </mml:mrow> <mml:mo>^<!-- ^ --></mml:mo> </mml:mover> </mml:mrow> <mml:mo stretchy="false">→<!-- → …