Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Resurgent Analysis of the Witten Laplacian in One Dimension
Alexander Getmanenko
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Keywords: Witten Morse theory, WKB, Resurgence
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2011 Volume 54 Issue 3 Pages 383-438

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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.
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© 2011 by the Division of Functional Equations, The Mathematical Society of Japan
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