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$p$-spectrum and collapsing of connected sums
2012
Transactions of the American Mathematical Society
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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