Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Resurgent Analysis of the Witten Laplacian in One Dimension—II
Alexander Getmanenko
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JOURNALS OPEN ACCESS

2013 Volume 56 Issue 1 Pages 121-176

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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(ec/h), c > 0, h → 0+) eigenvalues and of corresponding eigenfunctions of the Witten Laplacian; a general algorithm as well as two examples are discussed.

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© 2013 by the Division of Functional Equations, The Mathematical Society of Japan
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