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Tame quasiconformal
motions and monodromy
Yunping Jiang, Sudeb Mitra and Zhe Wang |
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Vol. 329 (2024), No. 1, 105–119
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Abstract |
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The concept of tame quasiconformal motions was first introduced by Jiang et al. (2018). The concept of monodromy of holomorphic motions was first introduced by Beck et al. (2012). In this paper, we will show that the concept of monodromy of tame quasiconformal motions can be defined, whereas it cannot be defined for quasiconformal motions, in the sense of Sullivan and Thurston (1986). We also study some other properties of tame quasiconformal motions. |
Keywords
tame quasiconformal motions, quasiconformal motions,
monodromy, Teichmüller spaces
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Mathematical Subject Classification
Primary: 30C62, 32G15
Secondary: 37F31
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Milestones
Received: 13 July 2023
Revised: 12 March 2024
Accepted: 22 April 2024
Published: 12 June 2024
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Authors |
| Yunping Jiang | |
| Department of Mathematics Queens College of the City University of New York Flushing, NY United States |
Department of Mathematics Graduate Center of the City University of New York New York, NY United States |
| Sudeb Mitra | |
| Department of Mathematics Queens College of the City University of New York Flushing, NY United States |
Department of Mathematics Graduate Center of the City University of New York New York, NY United States |
| Zhe Wang | |
| Department of Mathematics and
Computer Science Bronx Community College of CUNY Bronx, NY United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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