The Biderivative and A_\infty-bialgebras

dc.creatorSaneblidze, Samson
dc.creatorUmble, Ronald
dc.date2004-06-14
dc.date2005-03-20
dc.date.accessioned2026-07-07T05:09:13Z
dc.date.available2026-07-07T05:09:13Z
dc.descriptionAn A_\infty-bialgebra is a DGM H equipped with structurally compatible operations {ω^{j,i} : H^{\otimes i} --> H^{\otimes j}} such that (H,ω^{1,i}) is an A_\infty-algebra and (H,ω^{j,1}) is an A_\infty-coalgebra. Structural compatibility is controlled by the biderivative operator Bd, defined in terms of two kinds of cup products on certain cochain algebras of pemutahedra over the universal PROP U = End(TH).
dc.description15 pages, 5 figures. This final version (3-19-05) features improved graphics and other minor improvements
dc.identifierhttps://arxiv.org/abs/math/0406270
dc.identifierhttp://arxiv.org/abs/math/0406270
dc.identifierJ. Homology, Homotopy and Appl., 7 No. 2 (2005), pp. 161-177.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71550
dc.subjectAlgebraic Topology
dc.subject55P35; 55P99 ; 52B05
dc.titleThe Biderivative and A_\infty-bialgebras
dc.typetext

Files

Collections