The goal of the present paper is to calculate the limit of the spectrum of the Hodge-de Rham operator under the perturbation of collapse of one part of a connected sum. It takes place in the general problem of blowing up conical singularities introduced by R. Mazzeo and J. Rowlett.
- Atiyah-patodi-singer type boundary condition
- Collapsing of riemannian manifolds
- Differential forms
- Hodge-de rham operator