@CAT Seminar

Presented by :  Dorette Pronk (Dalhousie)

Title : On Suborbifolds

Abstract: Just as the notion of orbifold has developed over the 60 years, so has the notion of suborbifold. It was introduced by Thurston in the late 70s, along with the first revision of the definition of orbifold. This original definition was geometrically elegant, but fails to encompass some of their examples that have since been introduced by a more topological/homotopical view of orbifolds. This has led to various more recent definitions of suborbifolds, all based on presenting orbifolds as groupoids. However, none of these definitions fully captures the properties and phenomena their authors intend to include. Therefore, we propose an alternate approach, based on atlases and modules rather than groupoid homomorphisms. We believe that this new definition will better describe and encompass the examples and geometric structure in the literature.

This is joint work with Laura Scull and Matteo Tommasini 


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