Captures, matings and regluings
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 21 (2012) no. S5, pp. 877-906.

Dans des tranches de l’espace des paramètres de fractions rationnelles de degré 2, nous identifions des arcs représentés par des accouplements de polynômes quadratiques. Ces arcs sont contenus dans le bord des composantes hyperboliques.

In parameter slices of quadratic rational functions, we identify arcs represented by matings of quadratic polynomials. These arcs are on the boundaries of hyperbolic components.

DOI : 10.5802/afst.1356
Mashanova, Inna 1, 2 ; Timorin, Vladlen 3

1 Faculty of Mathematics and Laboratory of Algebraic Geometry, National Research University Higher School of Economics, 7 Vavilova St 117312 Moscow, Russia
2 Department of Mathematics, University of Michigan, 2074 East Hall, 530 Church Street, Ann Arbor, MI 48109-1043 USA
3 Independent University of Moscow, Bolshoy Vlasyevskiy Pereulok 11, 119002 Moscow, Russia
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Mashanova, Inna; Timorin, Vladlen. Captures, matings and regluings. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 21 (2012) no. S5, pp. 877-906. doi : 10.5802/afst.1356. http://archive.numdam.org/articles/10.5802/afst.1356/

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