Local WKB construction for boundary Witten Laplacians
نویسنده
چکیده
WKB p-forms are constructed as approximate solutions to boundary value problems associated with semi-classical Witten Laplacians. Naturally distorted Neumann or Dirichlet boundary conditions are considered. MSC 2000: 58J37 (58J10 58J32 81Q20)
منابع مشابه
Local Wkb Construction for Witten Laplacians on Manifolds with Boundary
See inside back cover or pjm.math.berkeley.edu/apde for submission instructions. The subscription price for 2010 is US $120/year for the electronic version, and $180/year for print and electronic. Subscriptions, requests for back issues from the last three years and changes of subscribers address should be sent to Mathematical Sciences Publishers, published continuously online. Periodical rate ...
متن کاملOn Witten Laplacians and Brascamp-Lieb’s inequality on manifolds with boundary
In this paper, we derive from the supersymmetry of the Witten Laplacian Brascamp-Lieb’s type inequalities for general differential forms on compact Riemannian manifolds with boundary. In addition to the supersymmetry, our results essentially follow from suitable decompositions of the quadratic forms associated with the Neumann and Dirichlet self-adjoint realizations of the Witten Laplacian. The...
متن کاملGluing formulas for determinants of Dolbeault laplacians on Riemann surfaces
We present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on surfaces with boundary satisfying local elliptic boundary conditions. The conditions are defined using the additional structure of a framing, or trivialization of the bundle near the boundary. An application to the comp...
متن کاملOn Spectral Properties of Witten-laplacians, Their Range Projections and Brascamp{lieb's Inequality
A study is made of an integral identity introduced recently by B. Heller and J. Sjj ostrand; in comparison with the Brascamp{Lieb inequality it is a more exible and in some contexts stronger means for the analysis of correlation asymptotics in statistical mechanics. Using functional analysis, viz. a detailed version of the Closed Range Theorem, the identity's validity is shown to depend upon an...
متن کاملResurgent Analysis of the Witten Laplacian in One Dimension
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.
متن کامل