대한수학회지 (Journal of the Korean Mathematical Society)

  • 제50권6호
  • /
  • Pages.1369-1400
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  • 2013
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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ON ORBIFOLD EMBEDDINGS

  • Cho, Cheol-Hyun (Department of Mathematical Sciences Research Institute of Mathematics Seoul National University) ;
  • Hong, Hansol (Department of Mathematical Sciences Research Institute of Mathematics Seoul National University) ;
  • Shin, Hyung-Seok (Department of Mathematical Sciences Research Institute of Mathematics Seoul National University)
  • 투고 : 2013.02.22
  • 발행 : 2013.11.01
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초록

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.

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea (NRF)

참고문헌

  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. https://doi.org/10.1007/s00220-004-1089-4
  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. https://doi.org/10.4171/LEM/56-3-4
  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. https://doi.org/10.1023/A:1007767628271
  8. D. Pronk and L. Scull, Translation groupoids and orbifold cohomology, Canad. J. Math. 62 (2010), no. 3, 614-645. https://doi.org/10.4153/CJM-2010-024-1

피인용 문헌

  1. On the notions of suborbifold and orbifold embedding vol.15, pp.5, 2015, https://doi.org/10.2140/agt.2015.15.2789