Presentations of noneffective orbifolds

By A. Henriques, David S. Metzler. 2003

52 citations recorded by the source corpus.

It is well known that an effective orbifold M (one for which the local stabilizer groups act effectively) can be presented as a quotient of a smooth manifold P by a locally free action of a compact Lie group K. We use the language of groupoids to provide a partial answer to the question of whether a noneffective orbifold can be so presented. We also note some connections to stacks and gerbes.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b2a934f85ce0c7f9c1860522d1cda40001dedd92

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Johann Leida
2. A. Adem
3. Y. Ruan
4. Eugene Lerman
5. J. Sparks
6. D. Martelli
7. H. Iritani
8. Hsian-Hua Tseng

In Mathematical Physics

1. Johann Leida
2. A. Adem
3. Y. Ruan
4. Eugene Lerman
5. H. Iritani
6. Hsian-Hua Tseng
7. Megumi Harada
8. Gregory D. Landweber

Citations in the corpus

• Orbifolds as stacks (2008, background): “This point is not new; I have learned it from [ 13 ].”
• Orbifolds and Stringy Topology (2007, background): “Some partial results, and a reduction of the problem to one involving equivariant gerbes, appear in [69].”