A simplicial $A∞$-operad acting on $R$-resolutions

Bauer, Tilman; Libman, Assaf

Homology Homotopy Appl., Tome 11 (2009) no. 1, p. 55-73 / Harvested from Project Euclid

Résumé

We construct a combinatorial model of an $A∞$-operad which acts simplicially on the cobar resolution (not just its total space) of a simplicial set with respect to a ring $R$.

Publié le : 2009-05-15
Classification: $A∞$-monad, completion, cobar resolution, 55P60, 18D50, 18C15

@article{1251832593,
     author = {Bauer, Tilman and Libman, Assaf},
     title = {A simplicial $A$\infty$$-operad acting on $R$-resolutions},
     journal = {Homology Homotopy Appl.},
     volume = {11},
     number = {1},
     year = {2009},
     pages = { 55-73},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251832593}
}

Bauer, Tilman; Libman, Assaf. A simplicial $A∞$-operad acting on $R$-resolutions. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp.  55-73. http://gdmltest.u-ga.fr/item/1251832593/