On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps
DOI10.1007/s00039-022-00621-8OpenAlexW4307576161MaRDI QIDQ2682947
Russell Lodge, Sabyasachi Mukherjee, Yusheng Luo
Publication date: 1 February 2023
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.03550
Thurston's compactness theoremdynamical correspondenceanti-holomorphic rational mapsKleinian reflection groups
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Reflection groups, reflection geometries (51F15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Fuchsian and Kleinian groups as dynamical systems (37F32)
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