Quadratic Thurston maps with few postcritical points
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Publication:2312727
DOI10.1007/s10711-018-0387-5zbMath1416.37043arXiv1704.03929OpenAlexW2963765978MaRDI QIDQ2312727
Publication date: 17 July 2019
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.03929
Geometric group theory (20F65) 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)
Related Items (6)
On the Pullback Relation on Curves Induced by a Thurston Map ⋮ The Pullback Map on Teichmüller Space Induced from a Thurston Map ⋮ Invariant spanning trees for quadratic rational maps ⋮ On elastic graph spines associated to quadratic Thurston maps ⋮ Origami, affine maps, and complex dynamics ⋮ Recognizing topological polynomials by lifting trees
Uses Software
Cites Work
- Thurston equivalence of topological polynomials
- A proof of Thurston's topological characterization of rational functions
- Origami, affine maps, and complex dynamics
- Algorithmic aspects of branched coverings I/V. Van Kampen's theorem for bisets
- An algebraic formulation of Thurston's characterization of rational functions
- Teichmüller theory and critically finite endomorphisms
- Pullback invariants of Thurston maps
- Nearly Euclidean Thurston maps
- Mapping schemes realizable by obstructed topological polynomials
- On the Construction of Branched Coverings of Low-Dimensional Manifolds
- A Classification of Postcritically Finite Newton Maps
- The Thurston equivalence for postcritically finite branched coverings
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