Morse homotopy for the \(SU(2)\)-Chern-Simons perturbation theory (Q6158172)

The author establishes a generalized construction of the 2-loop term of the \(SU(2)\)-Chern-Simons perturbation theory at a non-trivial flat connection given by \textit{R. Bott} and \textit{A. S. Cattaneo} [J. Differ. Geom. 53, No. 1, 1--13 (1999; Zbl 1036.57500)] by using the technique developed in [\textit{T. Shimizu}, Algebr. Geom. Topol. 16, No. 6, 3073--3101 (2016; Zbl 1357.57040)]. As an application of the construction, a construction based on the Morse homotopy of the 2-loop term of the \(SU(2)\)-Chern-Simons perturbation theory has been obtained.