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- W4249588735 abstract "This chapter explains and proves the Nielsen–Thurston classification of elements of Mod(<italic>S</italic>), one of the central theorems in the study of mapping class groups. It first considers the classification of elements for the torus of Mod(<italic>T</italic>² before discussing higher-genus analogues for each of the three types of elements of Mod(<italic>T</italic>². It then states the Nielsen–Thurston classification theorem in various forms, as well as a connection to 3-manifold theory, along with Thurston's geometric classification of mapping torus. The rest of the chapter is devoted to Bers' proof of the Nielsen–Thurston classification. The collar lemma is highlighted as a new ingredient, as it is also a fundamental result in the hyperbolic geometry of surfaces." @default.
- W4249588735 created "2022-05-12" @default.
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- W4249588735 date "2017-10-19" @default.
- W4249588735 modified "2023-09-24" @default.
- W4249588735 title "The Nielsen-Thurston Classification" @default.
- W4249588735 doi "https://doi.org/10.23943/princeton/9780691147949.003.0014" @default.
- W4249588735 hasPublicationYear "2017" @default.
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