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- W1570233011 abstract "Starting with a Z-graded superconnection on a graded vector bundle over a smooth manifold M, we show how Chen's iterated integration of such a superconnection over smooth simplices in M gives an A-infinity functor if and only if the superconnection is flat. If the graded bundle is trivial, this gives a twisting cochain. Very similar results were obtained by K.T. Chen using similar methods. This paper is intended to explain this from scratch beginning with the definition and basic properties of a connection and ending with an exposition of Chen's formal connections and a brief discussion of how this is related to higher Reidemeister torsion." @default.
- W1570233011 created "2016-06-24" @default.
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- W1570233011 date "2009-12-01" @default.
- W1570233011 modified "2023-10-01" @default.
- W1570233011 title "Iterated integrals of superconnections" @default.
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