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1. • CommentRowNumber1.
   • CommentAuthorzskoda
   • CommentTimeSep 6th 2011
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   Author: zskoda
   Format: MarkdownItexStub for [[connection in noncommutative geometry]].

   Stub for connection in noncommutative geometry.

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeSep 6th 2011
   • (edited Sep 6th 2011)
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   Author: zskoda
   Format: MarkdownItexRemoved 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](http://arxiv.org/abs/gr-qc/9808023). > [[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](http://arxiv.org/abs/math/0509284) 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 ?

   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 ?