Analytic eigenbranches in the semi-classical limit
英文摘要：
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 are analogous to a theorem for scalar Schrödinger operators on Euclidean space by Luc Hillairet and apply to geometric operators like Witten's Laplacian associated with a Morse function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
