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Nielsen thurston classification


2019-12-10 13:38 The NielsenThurston classication of mapping classes in M(0, 4) in M M (0,

How can the answer be improved? nielsen thurston classification The type of an element g of the mapping class group in the Thurston classification is related to its fixed points when acting on the compactification of T ( S ): If g is periodic, then there is a fixed point within T If g is pseudoAnosov, then g has no fixed points in T For some reducible

NielsenThurston classification In mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston 's theorem completes the work initiated by Jakob Nielsen ( 1944 ). nielsen thurston classification

Fast NielsenThurston classification BalzsStrenner Georgia Institute of Technology (joint with Dan Margalitand ykYurtta) Classification by fixed points on PMF NielsenThurston Classification Mod(S) mapping class group of a surface S Every element of the mapping class group is either Finite order elements fix all of PMF (up to power). U (U) In mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact surface. William Thurston 's theorem completes the work initiated by Jakob Nielsen in the 1930s. Given a homeomorphism f: S S, there is a map g isotopic to f such that either: ALGEBRAIC NIELSENTHURSTON CLASSIFICATION 5. Case with pseudoAnosov component. Suppose is a component of @S0. The maximum number of distinct isotopy classes of disjoint arcs on S0is 3j(S0)j, the number of edges in an ideal triangulation of S0with its boundary shrunk to punctures. nielsen thurston classification In mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston's theorem completes the work initiated by Jakob Nielsen. Given a homeomorphism f: S S, there is a map g isotopic to f such that at least one of the following holds: g is periodic, i. e. some power of g is the NielsenThurston Classification. In mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston's theorem completes the work initiated by Jakob Nielsen (1944). Given a homeomorphism f: S S, there is a map g isotopic to f such that at least one of the following holds: g is The BirmanHilden Theorem and the NielsenThurston classification. Recall that the BirmanHilden theorem (cf. e. g. Section 9. 4 of Farb and Margalit's wonderful book) defines for us a surjective map: SMod (Sg, 0)Mod (S0, 2g2) with kernel. Here, Sg, n denotes a surface of genus g with n punctures, Mod (S0, 2g2) the mapping class group of S0, 2g2, Another mentioned Thurston's classification theorem for isotopy classes of surface homeomorphisms , not just the title of this article per se. As much as half of them or so refer to the NielsenThurston classification theorem.



Gallery Nielsen thurston classification