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Fixed points of pseudo-Anosov diffeomorphisms of surfaces. (English) Zbl 0508.55001


MSC:

55M20 Fixed points and coincidences in algebraic topology
37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)

Citations:

Zbl 0496.57003
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Full Text: DOI

References:

[1] Brown, R., The Lefschetz Fixed Point Theorem (1971), Scott, Foresman: Scott, Foresman Glenview, Ill · Zbl 0216.19601
[2] Gilman, J., On the Nielsen type and the classification for the mapping class group, Advan. in Math., 40, 68-96 (1981) · Zbl 0474.57005
[3] Jiang, B.-T, Estimation of the Nielsen numbers, Chinese Math., 5, 330-339 (1964)
[4] Nielsen, J., Untersuchung zur Topologie der geschlossenen zweiseitigen Flächen, I, II, III, Acta Math., 58, 87-167 (1932) · JFM 58.0613.01
[5] Nielsen, J., Surface transformation classes of algebraically finite type, Det Kgl. Danske Vidensk. Selskab Math. Fys. Medd., 21, 2, 1-89 (1944)
[6] Miller, R., Nielsen’s viewpoint on geodesic laminations, Advances in Math., 45, 189-212 (1982) · Zbl 0496.57003
[7] (Fathi, A.; Laudenbach, F.; Poénaru, V., Travaux de Thurston sur les surfaces, Orsay Séminaire. Travaux de Thurston sur les surfaces, Orsay Séminaire, Astérisque, 66-67 (1979))
[9] Wecken, F., Fixpunktklassen I, Math. Ann., 117, 659-671 (1941) · JFM 67.1093.02
[10] Wecken, F., Fixpunktklassen II, Math. Ann., 118, 216-254 (1942) · JFM 67.1094.01
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