Remarks on the Cobordism Group of Surface Diffeomorphisms.
A.L. Edmonds, J.H. Ewing (1982)
Mathematische Annalen
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A.L. Edmonds, J.H. Ewing (1982)
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Farag, A.M., Weiss, Gunter (2000)
Journal for Geometry and Graphics
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Christian Bonatti, Lorenzo J. Díaz (2003)
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Fok-Shuen Leung (2009)
Acta Arithmetica
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J. Palis (2005)
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Raúl Ures (1995)
Annales scientifiques de l'École Normale Supérieure
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Gutierrez, Carlos, Mercuri, Francesco, Sánchez-Bringas, Federico (1996)
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Teruo Nagase, Akiko Shima (2005)
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Let Γ be a 4-chart with at most two crossings. We show that if the closure of the surface braid obtained from Γ is one 2-sphere, then the sphere is a ribbon surface.
Ciprian Borcea (1986)
Mathematische Annalen
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G. Lucca (2003)
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Jacob Palis, Jean-Christophe Yoccoz (2009)
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In the present paper, we advance considerably the current knowledge on the topic of bifurcations of heteroclinic cycles for smooth, meaning C ∞, parametrized families {g t ∣t∈ℝ} of surface diffeomorphisms. We assume that a quadratic tangency q is formed at t=0 between the stable and unstable lines of two periodic points, not belonging to the same orbit, of a (uniformly hyperbolic) horseshoe K (see an example at the Introduction) and that such lines cross each other with positive relative...
Charles Holton, Brian F. Martensen (2008)
Fundamenta Mathematicae
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We show that an aperiodic minimal tiling space with only finitely many asymptotic composants embeds in a surface if and only if it is the suspension of a symbolic interval exchange transformation (possibly with reversals). We give two necessary conditions for an aperiodic primitive substitution tiling space to embed in a surface. In the case of substitutions on two symbols our classification is nearly complete. The results characterize the codimension one hyperbolic attractors of surface...
Andrea Seppi (2017)
Complex Manifolds
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Given a smooth spacelike surface ∑ of negative curvature in Anti-de Sitter space of dimension 3, invariant by a representation p: π1 (S) → PSL2ℝ x PSL2ℝ where S is a closed oriented surface of genus ≥ 2, a canonical construction associates to ∑ a diffeomorphism φ∑ of S. It turns out that φ∑ is a symplectomorphism for the area forms of the two hyperbolic metrics h and h' on S induced by the action of p on ℍ2 x ℍ2. Using an algebraic construction related to the flux homomorphism, we give...
Martin Bright (2011)
Acta Arithmetica
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