$p$-spectrum and collapsing of connected sums

Colette Anné, Junya Takahashi
2012 Transactions of the American Mathematical Society  
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.
doi:10.1090/s0002-9947-2011-05351-1 fatcat:ggkotbpukfgdrgovlvtwayku3i