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Homotopy Rinehart Cohomology of Homotopy Lie-Rinehart Pairs

Homotopy Rinehart Cohomology of Homotopy Lie-Rinehart Pairs

Lars Kjeseth

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. 


Homology, Homotopy and Applications, Vol. 3, 2001, No. 7, pp. 139-163

http://www.rmi.acnet.ge/hha/volumes/2001/n7/n7.dvi (ps, dvi.gz, ps.gz)
ftp://ftp.rmi.acnet.ge/pub/hha/volumes/2001/n7/n7.dvi (ps, dvi.gz, ps.gz)