Automorphisms of surface mapping class groups. A recent theorem of N. Ivanov.
J.D. McCarthy (1986)
Inventiones mathematicae
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J.D. McCarthy (1986)
Inventiones mathematicae
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Gang Xiao (1990)
Inventiones mathematicae
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I. Dolgachev (1984)
Inventiones mathematicae
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Charles Favre, Matteo Ruggiero (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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We show that a complex normal surface singularity admitting a contracting automorphism is necessarily quasihomogeneous. We also describe the geometry of a compact complex surface arising as the orbit space of such a contracting automorphism.
A.T. Huckleberry, M. Sauer (1990)
Mathematische Zeitschrift
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Klaus Schmidt, Tom Ward (1993)
Inventiones mathematicae
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V. O. Chiboka (2001)
Kragujevac Journal of Mathematics
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Peter Turbek (1997)
Revista Matemática de la Universidad Complutense de Madrid
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The full automorphism group of the Kulkarni surface is explicitly determined. It is employed to give three defining equations of the Kulkarni surface; each equation exhibits a symmetry of the surface as complex conjugation.
Gwénaël Massuyeau, Vladimir Turaev (2013)
Annales de l’institut Fourier
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We introduce a notion of a Fox pairing in a group algebra and use Fox pairings to define automorphisms of the Malcev completions of groups. These automorphisms generalize to the algebraic setting the action of the Dehn twists in the group algebras of the fundamental groups of surfaces. This work is inspired by the Kawazumi–Kuno generalization of the Dehn twists to non-simple closed curves on surfaces.
Shigeru Mukai (1988)
Inventiones mathematicae
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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...
E. Bujalance (1985)
Mathematische Annalen
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