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Topological regluing of rational functions

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Abstract

Regluing is a surgery that helps to build topological models for rational functions. It also has a holomorphic interpretation, with the flavor of infinite dimensional Thurston–Teichmüller theory. We will discuss a topological theory of regluing, and just trace a direction, in which a holomorphic theory can develop.

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Authors and Affiliations

  1. Faculty of Mathematics, Higher School of Economics, 20 Myasnitskaia St., 101000, Moscow, Russia

    V. Timorin

  2. Jacobs University Bremen, 28759, Bremen, Germany

    V. Timorin

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  1. V. Timorin
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Correspondence to V. Timorin.

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Timorin, V. Topological regluing of rational functions. Invent. math. 179, 461–506 (2010). https://doi.org/10.1007/s00222-009-0220-8

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  • DOI: https://doi.org/10.1007/s00222-009-0220-8

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