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    $\begingroup$ Another book that discusses this approach in detail is "Calabi-Yau Manifolds and Related Geometries" by Gross-Huybrechts-Joyce, chapter 2, from page 73. $\endgroup$
    – YangMills
    Commented Jun 18, 2012 at 16:09
  • $\begingroup$ I am just wondering where the power series presentation of $\phi(t)$ came from? And why $\phi_0=0$? $\endgroup$
    – yaa09d
    Commented Dec 9, 2013 at 9:22
  • $\begingroup$ @yaa09d: There was a function $\phi(t)$ and we took its power series. We have $\phi_0 = 0$ as $\phi(0) = 0$. $\endgroup$
    – Michael Albanese
    Commented Dec 22, 2013 at 5:06
  • $\begingroup$ good point. i myself was wondering the same thing $\endgroup$
    – Koushik
    Commented May 21, 2014 at 9:02
  • $\begingroup$ Two notes: (1) Claire Voisin also touches that topic briefly in Hodge Theory and Complex Algebraic Geometry, I, p.226-228. (2) I think the Maurer-Cartan equation should be $\bar\partial \phi(t) + \frac 1 2 [\phi(t), \phi(t)] = 0$. See this question for my reasoning. $\endgroup$
    – red_trumpet
    Commented Jun 28, 2021 at 15:15