Resurgent analysis of the Witten Laplacian in one dimension – II.
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Submission date: 19. Apr. 2010
published in: Funkcialaj ekvacioj, 56 (2010) 1, p. 121-176
DOI number (of the published article): 10.1619/fesi.56.121
with the following different title: Resurgent analysis of the Witten Laplacian in one dimension. Pt. 2
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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. In this paper more precise connection formulae are presented, which allows the calculation of a subdominant exponential term in the hyperasymptotic expansion of a low-lying eigenvalue. Calculation of eigenfunctions corresponding to low-lying eigenvalues is presented in two examples.