Suborbifolds, quotients and transversality

Martin Weilandt

doi:10.1016/j.topol.2017.03.011

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arXiv · 1512.08937

Suborbifolds, quotients and transversality

Martin Weilandt

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Abstract

Inspired by work of Borzellino and Brunsden, we generalize the notion of a submanifold identifying a natural and sufficiently general condition which guarantees that a subset of an (effective) orbifold carries itself a canonical induced orbifold structure. We illustrate the strength of this approach generalizing typical constructions of submanifolds to the orbifold setting using embeddings, proper group actions and the idea of transversality.

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Martin Weilandt. 2017-03-21. Suborbifolds, quotients and transversality. https://doi.org/10.1016/j.topol.2017.03.011

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