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The Cumulant Bijection and Differential Forms

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arxiv 1407.0422 v2 pith:S3PSLM65 submitted 2014-07-01 math.AT

The Cumulant Bijection and Differential Forms

Nissim Ranade , Dennis Sullivan This is my paper
classification math.AT
keywords cumulantbijectionscanonicalcoordinatedifferentialsystemsaccordingalgebras
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According to Jae Suk Park, physicists use "canonical coordinate systems" to compute correlations in perturbative quantum field theories. One may interpret these canonical coordinate systems as equivalences of generalized differential Lie algebras. In this note we discuss these flattenings in one particular setting and refer to them as "cumulant bijections". The main point we make is that these cumulant bijections are functorial for deformation retracts. The discussion is completely self contained and based on well known universal properties.

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