Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs

Lars Kjeseth
2001 Homology, Homotopy and Applications  
We define homotopy Lie-Rinehart pairs and the associated homotopy Rinehart algebra in the context of coalgebras. We define homotopy Lie-Rinehart resolutions and present conditions under which the associated homotopy Rinehart algebra is a cohomological model for the Rinehart algebra of the resolved Lie-Rinehart pair.
doi:10.4310/hha.2001.v3.n1.a7 fatcat:ln7lh3zxqbdfdnx2jtt5rua4t4