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What is the technical difference between a deformation and a perturbation? Do they exist in somewhat different categories?

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    $\begingroup$ I feel diffident saying this, since you've done plenty of work in which the word "deformation" is embedded (perhaps esp. in algebra where the name Gerstenhaber is also prominent), but these words appear in varying contexts. Is there a particular context in which you see both words being used, where a technical distinction would become important? $\endgroup$
    – Todd Trimble
    Commented Jan 24, 2015 at 17:03
  • $\begingroup$ I meant it more in the sense of: what comes to mind e.g. context when one or the other of these appear $\endgroup$
    – Jim Stasheff
    Commented Jan 25, 2015 at 22:08
  • $\begingroup$ @JimStasheff I am very much interested to know about this ; did you ind out more in the last 3 years? Would you please share if there is any? $\endgroup$
    – Creator
    Commented Feb 27, 2018 at 2:49
  • $\begingroup$ 'perturbation' can be thought in the context of stability/instability of wave propagation and hence mathematical. Eg: In the field of Fluid mechanics, one could use the sentence "The perturbations of a liquid surface travel with visco-capillary speeds." Whereas, 'deformation' is more general. $\endgroup$
    – Srinath Lakshman
    Commented May 11, 2019 at 14:33
  • $\begingroup$ I added "primary" tags but this can maybe be improved. $\endgroup$
    – YCor
    Commented May 11, 2019 at 20:08

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