MR3099037 Alexander GETMANENKO Alexander GETMANENKO Resurgent Analysis of the Witten Laplacian in One Dimension -- II Funkcialaj Ekvacioj. Serio Internacia 56 2013 121--176 http://fe.math.kobe-u.ac.jp/FE/FullPapers/56-1/56_121.pdf http://www.ams.org/mathscinet-getitem?mr=MR3099037 The Witten Laplacian in one dimension is studied further by methods of resurgent analysis in order to approach Fukaya's conjectures relating WKB asymptotics and disc instantons. We carry out explicit computations of exponential asymptotic expansions of exponentially small (i.e. $O(e^{-c/h})$, $c>0$, $h\to 0+$) eigenvalues and of corresponding eigenfunctions of the Witten Laplacian; a general algorithm as well as two examples are discussed. Witten Morse theory, WKB, Resurgence. 34M60, 35J10, 58E05. 56-121 2013 Resurgent Analysis of the Witten Laplacian in One Dimension -- II Alexander GETMANENKO Alexander GETMANENKO
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