Baader, Sebastian Geometry and topology of surfaces. (English) Zbl 07335084 Zurich Lectures in Advanced Mathematics. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-000-6/pbk; 978-3-98547-500-1/ebook). ix, 75 p. (2021). Reviewer: Bruno Zimmermann (Trieste) MSC: 57-02 57K20 PDF BibTeX Cite \textit{S. Baader}, Geometry and topology of surfaces. Berlin: European Mathematical Society (EMS) (2021; Zbl 07335084) Full Text: DOI
Guelman, Nancy; Liousse, Isabelle Any Baumslag-Solitar action on surfaces with a pseudo-Anosov element has a finite orbit. (English) Zbl 1442.37044 Ergodic Theory Dyn. Syst. 39, No. 12, 3353-3364 (2019). Reviewer: Fernanda Botelho (Memphis) MSC: 37C85 37E30 22F05 22F10 PDF BibTeX Cite \textit{N. Guelman} and \textit{I. Liousse}, Ergodic Theory Dyn. Syst. 39, No. 12, 3353--3364 (2019; Zbl 1442.37044) Full Text: DOI arXiv
Los, Jérôme; Paoluzzi, Luisa; Salgueiro, António A note on covers of fibred hyperbolic manifolds. (English) Zbl 1380.57017 Publ. Mat., Barc. 61, No. 2, 517-527 (2017). Reviewer: Bruno Zimmermann (Trieste) MSC: 57M50 57M10 PDF BibTeX Cite \textit{J. Los} et al., Publ. Mat., Barc. 61, No. 2, 517--527 (2017; Zbl 1380.57017) Full Text: DOI Euclid
Grines, V. Z.; Shilovskaya, A. A. Three-dimensional mapping with two-dimensional expansive attractors and repellers. (Russian. English summary) Zbl 1340.37019 Zh. Sredn. Mat. Obshch. 16, No. 1, 55-60 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C05 PDF BibTeX Cite \textit{V. Z. Grines} and \textit{A. A. Shilovskaya}, Zh. Sredn. Mat. Obshch. 16, No. 1, 55--60 (2014; Zbl 1340.37019)
Zhirov, A. Yu. How many different cascades on a surface can have coinciding hyperbolic attractors? (English. Russian original) Zbl 1312.37029 Math. Notes 94, No. 1, 96-106 (2013); translation from Mat. Zametki 94, No. 1, 109-121 (2013). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37D20 37D25 37D45 37E30 PDF BibTeX Cite \textit{A. Yu. Zhirov}, Math. Notes 94, No. 1, 96--106 (2013; Zbl 1312.37029); translation from Mat. Zametki 94, No. 1, 109--121 (2013) Full Text: DOI
Pinto, A. A.; Rand, D. A. Uniformly hyperbolic diffeomorphisms in every surfaces. (English) Zbl 1267.37028 J. Difference Equ. Appl. 17, No. 7, 1031-1047 (2011). MSC: 37D20 37D50 PDF BibTeX Cite \textit{A. A. Pinto} and \textit{D. A. Rand}, J. Difference Equ. Appl. 17, No. 7, 1031--1047 (2011; Zbl 1267.37028) Full Text: DOI
Hirose, Susumu Pseudo-Anosov elements of mapping class groups of Heegaard surfaces of the 3-sphere. (English) Zbl 1237.57020 Kodai Math. J. 34, No. 1, 132-139 (2011). Reviewer: Mustafa Korkmaz (Ankara) MSC: 57M60 57N10 57M99 PDF BibTeX Cite \textit{S. Hirose}, Kodai Math. J. 34, No. 1, 132--139 (2011; Zbl 1237.57020) Full Text: DOI
Klimenko, A. V. There are only finitely many classes of Markov partitions for pseudo-Anosov diffeomorphisms of surfaces. (English. Russian original) Zbl 1179.37041 Math. Notes 86, No. 2, 286-289 (2009); translation from Mat. Zametki 86, No. 2, 314-317 (2009). Reviewer: Andrzej Piatkowski (Łódź) MSC: 37D20 PDF BibTeX Cite \textit{A. V. Klimenko}, Math. Notes 86, No. 2, 286--289 (2009; Zbl 1179.37041); translation from Mat. Zametki 86, No. 2, 314--317 (2009) Full Text: DOI
Gendron, T. M. Approximate roots of pseudo-Anosov diffeomorphisms. (English) Zbl 1179.30044 Ann. Inst. Fourier 59, No. 4, 1413-1442 (2009). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30F60 32G15 PDF BibTeX Cite \textit{T. M. Gendron}, Ann. Inst. Fourier 59, No. 4, 1413--1442 (2009; Zbl 1179.30044) Full Text: DOI EuDML
Pollicott, Mark; Sharp, Richard Pseudo-Anosov foliations on periodic surfaces. (English) Zbl 1115.37018 Topology Appl. 154, No. 12, 2365-2375 (2007). MSC: 37C85 37E30 37B10 37A25 37D20 PDF BibTeX Cite \textit{M. Pollicott} and \textit{R. Sharp}, Topology Appl. 154, No. 12, 2365--2375 (2007; Zbl 1115.37018) Full Text: DOI
Barge, Marcy; Kwapisz, Jaroslaw Hyperbolic pseudo-anosov maps almost everywhere embed into a toral automorphism. (English) Zbl 1101.37020 Ergodic Theory Dyn. Syst. 26, No. 4, 961-972 (2006). MSC: 37D20 37E99 37C85 57R30 37B10 PDF BibTeX Cite \textit{M. Barge} and \textit{J. Kwapisz}, Ergodic Theory Dyn. Syst. 26, No. 4, 961--972 (2006; Zbl 1101.37020) Full Text: DOI
Minakawa, Hiroyuki Algebraic property of dilatation constants of piecewise linear structures of Anosov foliations. (English) Zbl 1056.37032 J. Math. Sci., Tokyo 11, No. 1, 65-74 (2004). MSC: 37D20 37C85 57R30 PDF BibTeX Cite \textit{H. Minakawa}, J. Math. Sci., Tokyo 11, No. 1, 65--74 (2004; Zbl 1056.37032)
Menzel, Christof; Parker, John R. Pseudo-Anosov diffeomorphisms of the twice punctured torus. (English) Zbl 1052.57056 Cho, Jung Rae (ed.) et al., Recent advances in group theory and low-dimensional topology. Proceedings of the 2nd German-Korean workshop on algebra and topology, Pusan, Korea, August 14–26, 2000. Lemgo: Heldermann Verlag (ISBN 3-88538-227-X/pbk). Res. Expo. Math. 27, 141-154 (2003). Reviewer: Masako Kobayashi (Osaka) MSC: 57S05 57M99 57N05 57R50 57M50 PDF BibTeX Cite \textit{C. Menzel} and \textit{J. R. Parker}, Res. Expo. Math. 27, 141--154 (2003; Zbl 1052.57056)
Fitzkee, Thomas L.; Hockett, Kevin G.; Robinson, E. Arthur jun. A weakly mixing tiling dynamical system with a smooth model. (English) Zbl 1027.37009 Theor. Comput. Sci. 303, No. 2-3, 447-462 (2003). MSC: 37B50 37A25 37D20 PDF BibTeX Cite \textit{T. L. Fitzkee} et al., Theor. Comput. Sci. 303, No. 2--3, 447--462 (2003; Zbl 1027.37009) Full Text: DOI
Ivanov, Nikolai V. Mapping class groups. (English) Zbl 1002.57001 Daverman, R. J. (ed.) et al., Handbook of geometric topology. Amsterdam: Elsevier. 523-633 (2002). Reviewer: Darryl McCullough (Norman) MSC: 57-02 57M99 30F60 PDF BibTeX Cite \textit{N. V. Ivanov}, in: Handbook of geometric topology. Amsterdam: Elsevier. 523--633 (2002; Zbl 1002.57001) Backlinks: MO
Mangum, Brian S. Incompressible surfaces and pseudo-Anosov flows. (English) Zbl 0927.57009 Topology Appl. 87, No. 1, 29-51 (1998). Reviewer: William Goldman (College Park) MSC: 57M50 37C85 57R30 57N35 57N10 PDF BibTeX Cite \textit{B. S. Mangum}, Topology Appl. 87, No. 1, 29--51 (1998; Zbl 0927.57009) Full Text: DOI
Hamidi-Tehrani, Hessam; Chen, Zong-He Surface diffeomorphisms via train-tracks. (English) Zbl 0870.57048 Topology Appl. 73, No. 2, 141-167 (1996). MSC: 57S05 57N05 PDF BibTeX Cite \textit{H. Hamidi-Tehrani} and \textit{Z.-H. Chen}, Topology Appl. 73, No. 2, 141--167 (1996; Zbl 0870.57048) Full Text: DOI
Kenyon, Richard A group of paths in \(\mathbb{R}^2\). (English) Zbl 0896.52024 Trans. Am. Math. Soc. 348, No. 8, 3155-3172 (1996). MSC: 52C20 20E08 20E06 20F34 05B45 PDF BibTeX Cite \textit{R. Kenyon}, Trans. Am. Math. Soc. 348, No. 8, 3155--3172 (1996; Zbl 0896.52024) Full Text: DOI
Zhirov, A. Yu. On the minimum of the dilatation of pseudo-Anosov diffeomorphisms of a pretzel. (English. Russian original) Zbl 0847.58057 Russ. Math. Surv. 50, No. 1, 223-224 (1995); translation from Usp. Mat. Nauk 50, No. 1, 197-198 (1995). Reviewer: M.Hurley (Cleveland) MSC: 37D99 PDF BibTeX Cite \textit{A. Yu. Zhirov}, Russ. Math. Surv. 50, No. 1, 223--224 (1995; Zbl 0847.58057); translation from Usp. Mat. Nauk 50, No. 1, 197--198 (1995) Full Text: DOI
Slutskin, Lev The axes in \(T_ p\). (English) Zbl 0829.30028 Topology Appl. 64, No. 2, 101-116 (1995). MSC: 30F30 32G15 57M10 57R30 30F35 PDF BibTeX Cite \textit{L. Slutskin}, Topology Appl. 64, No. 2, 101--116 (1995; Zbl 0829.30028) Full Text: DOI
Sharp, Richard Periodic points and rotation vectors for torus diffeomorphisms. (English) Zbl 0840.57019 Topology 34, No. 2, 351-357 (1995). Reviewer: M.A.Teixeira (Campinas) MSC: 57R50 37A99 57N05 PDF BibTeX Cite \textit{R. Sharp}, Topology 34, No. 2, 351--357 (1995; Zbl 0840.57019) Full Text: DOI
Slutskin, Lev Computations on the transverse measured foliations associated with a pseudo-Anosov automorphism. (English) Zbl 0801.58036 J. Differ. Geom. 39, No. 2, 359-378 (1994). Reviewer: Yu.Latushkin (Columbia) MSC: 37D99 37C85 PDF BibTeX Cite \textit{L. Slutskin}, J. Differ. Geom. 39, No. 2, 359--378 (1994; Zbl 0801.58036) Full Text: DOI
Arnoux, Pierre; Fathi, Albert Un exemple de difféomorphisme pseudo-Anosov. (An example of pseudo- Anosov diffeomorphism). (French) Zbl 0722.57015 C. R. Acad. Sci., Paris, Sér. I 312, No. 2, 241-244 (1991). MSC: 57R50 57R30 PDF BibTeX Cite \textit{P. Arnoux} and \textit{A. Fathi}, C. R. Acad. Sci., Paris, Sér. I 312, No. 2, 241--244 (1991; Zbl 0722.57015)
McCarthy, John; Papadopoulos, Athanase Dynamics on Thurston’s sphere of projective measured foliations. (English) Zbl 0681.57002 Comment. Math. Helv. 64, No. 1, 133-166 (1989). Reviewer: N.V.Ivanov MSC: 57N05 57R50 37C85 32G15 30F35 PDF BibTeX Cite \textit{J. McCarthy} and \textit{A. Papadopoulos}, Comment. Math. Helv. 64, No. 1, 133--166 (1989; Zbl 0681.57002) Full Text: DOI EuDML
Arnoux, Pierre Un exemple de semi-conjugaison entre un échange d’intervalles et une translation sur le tore. (An example of semi-conjugacy between an interval exchange and a translation on the torus.). (French) Zbl 0703.58045 Bull. Soc. Math. Fr. 116, No. 4, 489-500 (1988). Reviewer: D.Repovš MSC: 37D99 PDF BibTeX Cite \textit{P. Arnoux}, Bull. Soc. Math. Fr. 116, No. 4, 489--500 (1988; Zbl 0703.58045) Full Text: DOI Numdam EuDML
Montorsi, A.; Rasetti, M. The mapping class group: Homology and linearity. (English) Zbl 0683.57001 Group theoretical methods in physics, Proc. 16th Int. Colloq., Varna/Bulg. 1987, Lect. Notes Phys. 313, 43-51 (1988). Reviewer: F.Bonahon MSC: 57N05 20F34 81T30 57R50 57M05 82B20 PDF BibTeX
Handel, Michael Entropy and semi-conjugacy in dimension two. (English) Zbl 0675.58025 Ergodic Theory Dyn. Syst. 8, No. 4, 585-596 (1988). Reviewer: H.Crauel MSC: 37A99 PDF BibTeX Cite \textit{M. Handel}, Ergodic Theory Dyn. Syst. 8, No. 4, 585--596 (1988; Zbl 0675.58025) Full Text: DOI
Thurston, William P. On the geometry and dynamics of diffeomorphisms of surfaces. (English) Zbl 0674.57008 Bull. Am. Math. Soc., New Ser. 19, No. 2, 417-431 (1988). Reviewer: N.Ivanov MSC: 57N05 57R50 37D99 57R52 PDF BibTeX Cite \textit{W. P. Thurston}, Bull. Am. Math. Soc., New Ser. 19, No. 2, 417--431 (1988; Zbl 0674.57008) Full Text: DOI
Kobayashi, Tsuyoshi Heights of simple loops and pseudo-Anosov homeomorphisms. (English) Zbl 0663.57010 Braids, AMS-IMS-SIAM Jt. Summer Res. Conf., Santa Cruz/Calif. 1986, Contemp. Math. 78, 327-338 (1988). Reviewer: D.McCullough MSC: 57N10 57N05 57Q35 57R50 PDF BibTeX
Birman, Joan S. Mapping class groups of surfaces. (English) Zbl 0663.57008 Braids, AMS-IMS-SIAM Jt. Summer Res. Conf., Santa Cruz/Calif. 1986, Contemp. Math. 78, 13-43 (1988). Reviewer: D.McCullough MSC: 57N05 20F34 57M05 57-02 PDF BibTeX
Fathi, Albert Some compact invariant sets for hyperbolic linear automorphisms of torii. (English) Zbl 0658.58028 Ergodic Theory Dyn. Syst. 8, No. 2, 191-204 (1988). Reviewer: L.N.Stoyanov MSC: 37D99 37C85 57R30 PDF BibTeX Cite \textit{A. Fathi}, Ergodic Theory Dyn. Syst. 8, No. 2, 191--204 (1988; Zbl 0658.58028) Full Text: DOI
Casson, Andrew J.; Bleiler, Steven A. Automorphisms of surfaces after Nielsen and Thurston. (English) Zbl 0649.57008 London Mathematical Society Student Texts, 9. Cambridge (UK) etc.: Cambridge University Press. 105 p. hbk: £20.00; $ 34.50; pbk: £7.50; $ 12.95 (1988). MSC: 57N05 57-02 57R50 37D99 51M10 PDF BibTeX Cite \textit{A. J. Casson} and \textit{S. A. Bleiler}, Automorphisms of surfaces after Nielsen and Thurston. Cambridge (UK) etc.: Cambridge University Press (1988; Zbl 0649.57008)
Penner, Robert C. An introduction to train tracks. (English) Zbl 0623.57005 Low dimensional topology and Kleinian groups, Symp. Warwick and Durham 1984, Lond. Math. Soc. Lect. Note Ser. 112, 77-90 (1986). Reviewer: F. Bonahon (Los Angeles) MSC: 57N05 57R50 57R30 37D99 PDF BibTeX
Mosher, Lee The classification of pseudo-Anosovs. (English) Zbl 0623.57004 Low dimensional topology and Kleinian groups, Symp. Warwick and Durham 1984, Lond. Math. Soc. Lect. Note Ser. 112, 13-75 (1986). Reviewer: F. Bonahon (Los Angeles) MSC: 57N05 57R50 57R30 PDF BibTeX
Lewowicz, Jorge; Lima de Sá, Eduardo Analytic models of pseudo-Anosov maps. (English) Zbl 0608.58035 Ergodic Theory Dyn. Syst. 6, 385-392 (1986). Reviewer: F.Bonahon MSC: 37D99 57N05 PDF BibTeX Cite \textit{J. Lewowicz} and \textit{E. Lima de Sá}, Ergodic Theory Dyn. Syst. 6, 385--392 (1986; Zbl 0608.58035) Full Text: DOI
Fried, David Growth rate of surface homeomorhisms and flow equivalence. (English) Zbl 0603.58020 Ergodic Theory Dyn. Syst. 5, 539-563 (1985). Reviewer: Yu.Kifer MSC: 37D99 PDF BibTeX Cite \textit{D. Fried}, Ergodic Theory Dyn. Syst. 5, 539--563 (1985; Zbl 0603.58020) Full Text: DOI
Casson, A. J.; Long, D. D. Algorithmic compression of surface automorphisms. (English) Zbl 0589.57008 Invent. Math. 81, 295-303 (1985). Reviewer: F.Bonahon MSC: 57N05 57R50 57R90 57N10 PDF BibTeX Cite \textit{A. J. Casson} and \textit{D. D. Long}, Invent. Math. 81, 295--303 (1985; Zbl 0589.57008) Full Text: DOI EuDML
Da Rocha, Luiz Fernando C. Characterization of Morse-Smale isotopy classes on surfaces. (English) Zbl 0583.58014 Ergodic Theory Dyn. Syst. 5, 107-122 (1985). Reviewer: Yu.Kifer MSC: 37D15 57R52 PDF BibTeX Cite \textit{L. F. C. Da Rocha}, Ergodic Theory Dyn. Syst. 5, 107--122 (1985; Zbl 0583.58014)
Handel, Michael Global shadowing of pseudo-Anosov homeomorphisms. (English) Zbl 0576.58025 Ergodic Theory Dyn. Syst. 5, 373-377 (1985). Reviewer: C.Chicone MSC: 37D99 PDF BibTeX Cite \textit{M. Handel}, Ergodic Theory Dyn. Syst. 5, 373--377 (1985; Zbl 0576.58025) Full Text: DOI
Gerber, Marlies Conditional stability and real analytic pseudo-Anosov maps. (English) Zbl 0572.58018 Mem. Am. Math. Soc. 321, 116 p. (1985). Reviewer: M.Wojtkowski MSC: 37D99 37J40 37A99 PDF BibTeX Cite \textit{M. Gerber}, Conditional stability and real analytic pseudo-Anosov maps. Providence, RI: American Mathematical Society (AMS) (1985; Zbl 0572.58018) Full Text: DOI
Bonahon, Francis Cobordism of automorphisms of surfaces. (English) Zbl 0535.57016 Ann. Sci. Éc. Norm. Supér. (4) 16, 237-270 (1983). Reviewer: N.Ivanov MSC: 57R50 57N10 57N05 37-XX 57R30 51M10 PDF BibTeX Cite \textit{F. Bonahon}, Ann. Sci. Éc. Norm. Supér. (4) 16, 237--270 (1983; Zbl 0535.57016) Full Text: DOI Numdam EuDML Backlinks: MO
Bonahon, F. Ribbon fibred knots, cobordism of surface diffeomorphisms, and pseudo- Anosov diffeomorphisms. (English) Zbl 0529.57004 Math. Proc. Camb. Philos. Soc. 94, 235-251 (1983). MSC: 57M25 57R90 57N05 37-XX PDF BibTeX Cite \textit{F. Bonahon}, Math. Proc. Camb. Philos. Soc. 94, 235--251 (1983; Zbl 0529.57004) Full Text: DOI
Papadopoulos, A. Réseaux ferroviaires, difféomorphismes pseudo-Anosov et automorphismes symplectiques de l’homologie d’une surface. (French) Zbl 0524.57019 Publ. Math. Orsay 83-03, 71 p. (1983). MSC: 57R50 57N05 37D99 57R30 37C85 57R25 PDF BibTeX
Papadopoulos, Athanase Difféomorphismes pseudo-Anosov et automorphismes symplectiques de l’homologie. (French) Zbl 0539.58023 Ann. Sci. Éc. Norm. Supér. (4) 15, 543-546 (1982). Reviewer: K.Johannson MSC: 37D99 57R50 37C85 57R30 PDF BibTeX Cite \textit{A. Papadopoulos}, Ann. Sci. Éc. Norm. Supér. (4) 15, 543--546 (1982; Zbl 0539.58023) Full Text: DOI Numdam EuDML
Gilman, Jane Determining Thurston classes using Nielsen types. (English) Zbl 0507.57005 Trans. Am. Math. Soc. 272, 669-675 (1982). MSC: 57N05 57R50 37-XX 30F99 32G15 14H99 PDF BibTeX Cite \textit{J. Gilman}, Trans. Am. Math. Soc. 272, 669--675 (1982; Zbl 0507.57005) Full Text: DOI
Fathi, Albert; Laudenbach, Francois Difféomorphismes pseudo-Anosov et décomposition de Heegaard. (French) Zbl 0459.57007 C. R. Acad. Sci., Paris, Sér. A 291, 423-425 (1980). MSC: 57N10 57N05 PDF BibTeX Cite \textit{A. Fathi} and \textit{F. Laudenbach}, C. R. Acad. Sci., Paris, Sér. A 291, 423--425 (1980; Zbl 0459.57007)
Fathi, A.; Poenaru, V. Théoremes d’unicité des difféomorphismes pseudo-Anosov. (French) Zbl 0446.57019 Astérisque 66-67, 225-242 (1979). MSC: 57N05 37A99 28D05 PDF BibTeX Cite \textit{A. Fathi} and \textit{V. Poenaru}, Astérisque 66--67, 225--242 (1979; Zbl 0446.57019)
Harvey, W. J. Geometric structure of surface mapping class groups. (English) Zbl 0424.57006 Homological group theory, Proc. Symp., Durham 1977, Lond. Math. Soc. Lect. Note Ser. 36, 255-269 (1979). MSC: 57N05 57R50 20F34 30F99 PDF BibTeX
Bers, Lipman An application of quasiconformal mappings to topology. (English) Zbl 0422.30039 Romanian- Finnish seminar on complex analysis, Proc., Bucharest 1976, Lect. Notes Math. 743, 57-65 (1979). MSC: 30G12 30C62 30C70 53A05 PDF BibTeX