We consider a one parameter family of Laplacians on a closed manifold and study the semi-classical limit of its analytically parametrized eigenvalues. Our results establish a vector valued analogue of a theorem for scalar Schrödinger operators on Euclidean space by Luc Hillairet which applies to geometric operators like Witten's Laplacian on differential forms.
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| http://dx.doi.org/10.1007/s11785-020-01011-4 | DOI Listing |
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