Displaying similar documents to “Algorithmic compression of surface automorphisms.”

Normal surface singularities admitting contracting automorphisms

Charles Favre, Matteo Ruggiero (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

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.

The full automorphism group of the Kulkarni surface.

Peter Turbek (1997)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

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.

Fox pairings and generalized Dehn twists

Gwénaël Massuyeau, Vladimir Turaev (2013)

Annales de l’institut Fourier

Similarity:

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.

Embedding tiling spaces in surfaces

Charles Holton, Brian F. Martensen (2008)

Fundamenta Mathematicae

Similarity:

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...