1997/10/28 by Kirill C. H. Mackenzie, Kirill Mackenzie, Ping Xu +2
Mathematics · #22A22 #53C99 #58H05 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 58F05. Secondary 17B66 #advanced mathematical theories #dg-ga #math.DG #msc:17B66 #msc:22A22 #msc:53C99 #msc:58F05. #msc:58H05
paper · pdf · doi:10.48550/arxiv.dg-ga/9710030
Latex, 27 pages, Quarterly J. Math. (Oxford), to appear
arxiv created 1997/10/28 · openalex publication_date 1997/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds to tangent and cotangent bundles. Using this calculus we give a new description of the Lie bialgebroid structure associated with a Poisson groupoid.