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Microlocal Properties of Sheaves and Complex WKB
Alexander Getmanenko, University of Tokyo, Japan, and Dmitry Tamarkin, Northwestern University, Evanston, Illinois, USA
A publication of the Société Mathématique de France.
cover
Astérisque
2013; 151 pp; softcover
Number: 356
ISBN-10: 2-85629-764-1
ISBN-13: 978-2-85629-772-8
List Price: US$46
Member Price: US$36.80
Order Code: AST/356
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Kashiwara-Schapira style sheaf theory is used to justify analytic continuability of solutions of the Laplace transformed Schrödinger equation with a small parameter. This partially proves the description of the Stokes phenomenon for WKB asymptotics predicted by Voros in 1983.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in sheaf theory.

Table of Contents

  • Introduction
  • Conventions and notations
  • Statement of the problem and main results
  • Orthogonality criterion--a simplified version
  • Orthogonality criterion for a generalized strip
  • Proof of Theorem 3.4
  • Identification of \(\Phi^{K}\) and \(\Psi^{K}\)
  • Bibliography
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