# Question on Witten’s paper “Supersymmetry and Morse theory”

EDIT. I am trying to read the article “Supersymmetry and Morse theory” by E. Witten (JDG 17 (1982)). This well known article applies some tools developed by physicists (e.g. path integrals) to topology of manifolds.

I am a mathematician, but I am familiar with some necessary physical ideas, although probably on more elementary level than necessary to understand the paper. To be more specific, I cannot understand the computation of matrix elements of the (twisted) de Rham differential $d_t$ on p. 672-673. The exposition there is too concise for me.

Is there a more detailed exposition of Witten’s paper today? However mathematical rigor is not so important for me. I would like to understand the physicists tools and ideas.

You can find much more on the specific family $d_t$ if you search for the key phrase "Witten deformation"; I would try to give some specific references here but I am a little puzzled by the statement that you are "NOT looking for a mathematically more rigorous exposition". Could you clarify; does this rule out e.g. anything with definitions, theorems and proofs? I guess the Helffer-Sjöstrand theory is not what you're after?