Vol. 3, No. 3, 2010

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Local WKB construction for Witten Laplacians on manifolds with boundary

Dorian Le Peutrec

Vol. 3 (2010), No. 3, 227–260
Abstract

WKB $p$-forms are constructed as approximate solutions to boundary value problems associated with semiclassical Witten Laplacians. Naturally distorted Neumann or Dirichlet boundary conditions are considered.

Keywords
WKB expansion, boundary value problem, Witten Laplacian
Mathematical Subject Classification 2000
Primary: 58J10, 58J32, 58J37, 81Q20