p-SPECTRUM AND COLLAPSING OF CONNECTED SUMS

نویسنده

  • JUNYA TAKAHASHI
چکیده

The goal of the present paper is to calculate the limit of 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 in [Maz06] and [Row08]. Le but de ce travail est de calculer la limite du spectre de l’opéateur de Hodgede Rham dans la perturbation obtenue par effondrement d’une moitié d’une somme connexe. Ce problème rentre dans le cadre de l’éclatement des singularités coniques introduites dans [Maz06] et [Row08].

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تاریخ انتشار 2009