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ON ORBIFOLD EMBEDDINGS
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 Title & Authors
ON ORBIFOLD EMBEDDINGS
Cho, Cheol-Hyun; Hong, Hansol; Shin, Hyung-Seok;
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 Abstract
The concept of "orbifold embedding" is introduced. This is more general than sub-orbifolds. Some properties of orbifold embeddings are studied, and in the case of translation groupoids, orbifold embedding is shown to be equivalent to a strong equivariant immersion.
 Keywords
orbifold;groupoid;equivariant immersion;
 Language
English
 Cited by
1.
On the notions of suborbifold and orbifold embedding, Algebraic & Geometric Topology, 2015, 15, 5, 2789  crossref(new windwow)
 References
1.
A. Adem, J. Leida, and Y. Ruan, Orbifolds and Stringy Topology, Cambridge Tracts in Mathematics, 171. Cambridge University Press, Cambridge, 2007.

2.
W. Chen and Y. Ruan, A new cohomology theory of orbifold, Comm. Math. Phys. 248 (2004), no. 1, 1-31.

3.
V. Ginzburg, V. Guillemin, and Y. Karshon, Moment maps, cobordisms, and Hamiltonian group actions, Mathematical Surveys and Monographs 98 American Mathematical Society, Providence, RI, 2002.

4.
A. Haefliger, Groupoides d'holonomie et classifiants, Asterisque 116 (1984), 70-97.

5.
E. Lerman, Orbifolds as stacks?, L'Enseign. Math. (2) 56 (2010), no. 3-4, 315-363. crossref(new window)

6.
I. Moerdijk and J. Mrcun, Lie groupoids, sheaves and cohomology, In: Poisson Geometry, Deformation Quantisation and Group Representations. London Math. Soc. Lecture Note Ser. 323, pp. 145-272, Cambridge University Press, Cambridge, 2005.

7.
I. Moerdijk and D. Pronk, Orbifolds, sheaves and groupoids, K-Thoery 12 (1997), no. 1, 3-21. crossref(new window)

8.
D. Pronk and L. Scull, Translation groupoids and orbifold cohomology, Canad. J. Math. 62 (2010), no. 3, 614-645. crossref(new window)