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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorzskoda
• CommentTimeSep 6th 2011
• CommentRowNumber2.
• CommentAuthorzskoda
• CommentTimeSep 6th 2011
• (edited Sep 6th 2011)

Removed a query at connection for a differential graded algebra.

Eric: I like this algebraic definition. Do you know who it can be traced back to? Koszul? I’ve come across it via Dimakis and Muller-Hoissen.

Urs Schreiber: i think this is the concept that is described at Lie infinity-algebroid representation. It is the same (up to very minor technical differences) that Jonathan Block calls a superconnection in this article.

Zoran Historically I do not know, it is certainly several decades old in this form. But things always depend on the context. For example if one takes the noncommutative differential forms of Karoubi for $\Omega^\bullet A$ (what is not quite semi-free – there is a small kernel determined by the augmentation map) then one has a definition of connection of Connes and Karoubi in nc differential geometry, used in that context from early 1980s. Flat connections for semi-free dgas are used also often when studying deformation theory problems via semi-free resolutions…Term superconnection is from Quillen. Does Block use it differently from Quillen ?