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paper

Resurgent Analysis of the Witten Laplacian in One Dimension

arXiv:0809.0441

Abstract

The Witten Laplacian corresponding to a Morse function on the circle is studied using methods of complex WKB and resurgent analysis. It is shown that under certain assumptions the low-lying eigenvalues of the Witten Laplacian are resurgent.

color figures; typos corrected, minor changes of notation made