DG coalgebras as formal stacks

Journal of Pure and Applied Algebra

Volumn 162, Issue 2-3, 2001, Pages 209-250

  Hinich, Vladimir ^a  

^a UNIVERSITY OF HAIFA   (Israel)

Author keywords

14D15; 18G55; 55P62

Indexed keywords

EID: 0000225028     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(00)00121-3     Document Type: Article

References (21)

1. A.K. Bousfield, V.K.A.M. Gugenheim, On PL de Rham theory and a rational homotopy type, Mem. AMS 8 (179) (1976).
2. Bousfield A.K., Kan D.M. Homotopy Limits, Completions and Localizations. Lecture Notes in Mathematics. vol. 304:1972;Springer, Berlin.
3. V. Drinfeld, a letter to V. Schechtman, September 1988.
4. W. Dwyer, P. Hirschhorn, D. Kan, Model categories and more general abstract homotopy theory, book in preparation, available at: http://www-math.mit.edu/psh/.
5. Dwyer W., Kan D. Simplicial localizations of categories. J. Pure Appl. Algebra. 17:1980;267-284.
6. W.M. Goldman, J.J. Millson, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publ. Math. IHES 67 (1988) 43-96.
7. W.M. Goldman, J.J. Millson, The homotopy invariance of the Kuranishi space, Illinois J. Math. 34(2) (1990) 337-367.
8. Hinich V. Rings with approximation property admit a dualizing complex. Math. Nachr. 163:1993;289-296.
9. V. Hinich, Descent of Deligne groupoids, Internat. Math. Res. Notices (1997) (5) 223-239.
10. Hinich V. Homological algebra of homotopy algebras. Comm. algebra. 25(10):1997;3291-3323.
11. Hinich V., Schechtman V. Homotopy Lie algebras. Adv. Soviet Math. part 2. 16:1993;1-29.
12. V. Hinich, V. Schechtman, Deformation theory and Lie algebra homology, Parts 1,2, Algebra Colloquium 4 (1997) 213-240, 291-316.
13. A. Hirschowitz, C. Simpson, Descente pour les n -champs, preprint math.AG/9807049.
14. Illusie L. Complexe cotangent et déformations I. Lecture Notes in Mathematics. vol. 239:1971;Springer, Berlin.
15. M. Kapranov, Injective resolutions of BG and derived moduli spaces of local systems, preprint alg-geom/9710027.
16. M. Kontsevich, Topics in algebra. Deformation theory, Lecture Notes, 1994.
17. D. Lehmann, Théorie homotopique des formes différentielles (d'après D. Sullivan), Astérisque 45 (1977).
18. J.P. May, Simplicial Objects in Algebraic Topology, Van Nostrand Mathematical Stuides, vol. 11, Van Nostrand, New York, 1967.
19. Quillen D. Homotopy Algebra. Lecture Notes in Mathematics. vol. 41:1967;Springer, Berlin.
20. Quillen D. Rational homotopy theory. Ann. Math. 90:1969;205-295.
21. Schlessinger M. Functors on Artin rings. Trans. AMS. 130:1968;208-222.