Analytic Eigenbranches in the Semi-classical Limit.

ABSTRACT: 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.

SUBMITTER: Haller S 

PROVIDER: S-EPMC7328107 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature