The stack quotient of a groupoid

Anders Kock

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2003)

  • Volume: 44, Issue: 2, page 85-104
  • ISSN: 1245-530X

How to cite

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Kock, Anders. "The stack quotient of a groupoid." Cahiers de Topologie et Géométrie Différentielle Catégoriques 44.2 (2003): 85-104. <http://eudml.org/doc/91669>.

@article{Kock2003,
author = {Kock, Anders},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {fibred categories; 2-categories; principal fibre bundles; theory of descent; coequalizers},
language = {eng},
number = {2},
pages = {85-104},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The stack quotient of a groupoid},
url = {http://eudml.org/doc/91669},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Kock, Anders
TI - The stack quotient of a groupoid
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2003
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 44
IS - 2
SP - 85
EP - 104
LA - eng
KW - fibred categories; 2-categories; principal fibre bundles; theory of descent; coequalizers
UR - http://eudml.org/doc/91669
ER -

References

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  1. [1] P. Deligne and D. Mumford, The irreducibility of the moduli space of curves of a given genus, Publ. Math. I.H.E.S.36, 75-110 (1969). Zbl0181.48803MR262240
  2. [2] J.W. Duskin, Simplicial Methods and the Interpretation of"Triple" Cohomology, Mem. A.M.S.163 (1975). Zbl0376.18011
  3. [3] M. Hofmann and T. StreicherThe groupoid interpretation of type theory. In: G. Sambin and J. Smith (eds.) Twenty-Five Years of Constructive Type Theory, Oxford1998. Zbl0930.03089MR1686856
  4. [4] L. Illusie, Complexe cotangent et deformations I, II, Springer Lecture Notes in Math. 239 (1971), 283 (1972). Zbl0224.13014MR491680
  5. [5] A. Kock, Characterization of stacks of principal fibre bundles, Institut Mittag-LefHer Report 27, 2000/ 2001. 
  6. [6] I. Moerdijk, Descent theory for toposes, Bull.Soc.Math.Belg.(A) 41 (1989), 373-391. Zbl0688.18003MR1031756
  7. [7] E. Palmgren, Identity Types and Groupoids, preprint 2001. 

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