The augmented deformation space of rational maps
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Publication:3295963
DOI10.1090/conm/742/14940zbMath1451.37069arXiv1902.10760OpenAlexW3168135742MaRDI QIDQ3295963
Publication date: 3 July 2020
Published in: A Panorama of Singularities (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.10760
Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44) Critical orbits for holomorphic dynamical systems (37F12)
Cites Work
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- Thurston's pullback map on the augmented Teichmüller space and applications
- A proof of Thurston's topological characterization of rational functions
- A disconnected deformation space of rational maps
- Hurwitz correspondences on compactifications of \(\mathcal{M}_{0, N}\)
- Teichmüller theory and critically finite endomorphisms
- An analytic construction of the Deligne-Mumford compactification of the moduli space of curves
- The irreducibility of the space of curves of a given genus
- The Lefschetz theorem on hyperplane sections
- On Thurston's pullback map
- Geometry and Dynamics of Quadratic Rational Maps
- On the Fundamental Group of an Algebraic Curve
- Discontinuous Groups and Riemann Surfaces (AM-79)