Mating Quadratic Maps with Kleinian Groups via Quasiconformal Surgery
نویسندگان
چکیده
Let q : Ĉ → Ĉ be any quadratic polynomial and r : C2 ∗ C3 → PSL(2,C) be any faithful discrete representation of the free product of finite cyclic groups C2 and C3 (of orders 2 and 3) having connected regular set. We show how the actions of q and r can be combined, using quasiconformal surgery, to construct a 2 : 2 holomorphic correspondence z → w, defined by an algebraic relation p(z,w) = 0.
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