Partial collapsing and the spectrum of the Hodge Laplacian

Details Partial collapsing and the spectrum of the Hodge Laplacian Partial collapsing and the spectrum of the Hodge Laplacian

2010-07-17

arxiv.org/abs/1007.2949v4

Mathematics

Differential Geometry

23 pages

Scientific paper

The goal of the present paper is to calculate the limit spectrum of the
Hodge-de Rham operator under the perturbation of collapsing one part of a
manifold obtained by gluing together two manifolds with the same boundary. It
appears to take place in the general problem of blowing up conical
singularities as introduced in \cite{Maz} and \cite{Row1,Row2}.

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