Abstract
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 → 0+) eigenvalues and of corresponding eigenfunctions of the Witten Laplacian; a general algorithm as well as two examples are discussed.
