#### 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