Embedding mapping class groups of orientable surfaces with one boundary component

Here we consider the particular case of affine surfaces V admitting smooth completions (S,B S ). Indeed, by the Danilov-Gizatullin Isomorphy Theorem [14], the isomorphy type as

In this paper, we make use of the relations between the braid and mapping class groups of a compact, connected, non-orientable surface N without boundary and those of its

Moreover, based on the fact that the exchange rule may model topological operations, non-commutative variants of Multiplicative Linear logic (MLL) were developed:.. planar logic

Then it follows from the classification of surfaces that, unless the surface is the sphere, the disk, or the projective plane, every face of the graph is a disk bounded by three

[9] E Irmak, Superinjective simplicial maps of complexes of curves and injective homo- morphisms of subgroups of mapping class groups, Topology 43 (2004), no..

The following proposition is a “classical result” for mapping class groups of connected orientable surfaces (see [10], for instance), and it is due to Stukow [11, 12] for the

In the present paper, the new algorithm is deduced from Poincar´ e’s Polyhedron theorem applied to the action of algebraic mapping class groups on ordered Auter space.. Since

Examples of such actions in- clude the action by isometries on metrics other than the Teichm¨ uller and the Weil-Petersson (e.g. McMullen’s metric, the K¨ahler-Einstein metric,