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Tracking Eigenvalues to the Frontier of Moduli Space I. Convergence and Spectral Accumulation

✍ Scribed by Christopher M. Judge


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
200 KB
Volume
184
Category
Article
ISSN
0022-1236

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✦ Synopsis


We consider the spectral behavior of the Laplace-Beltrami operator associated to a class of singular perturbations of a Riemannian metric on a complete manifold. The class of perturbations generalizes the well-known ''opening node'' perturbation of Teichmüller theory. In particular, we recover results of L.