Our aim here is to explain a new technique for the construction of a smooth Kuranishi structure, which we used in our previous article about the construction of symplectic field theory. We explain this technique in the case of a Morse chain complex.
"Smooth Kuranishi structure of the space of Morse trajectories." Kyoto J. Math. 61 (2) 231 - 258, June 2021. https://doi.org/10.1215/21562261-2021-0001