Spectrum of compact manifolds with high genus

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In this paper we study the behavior of the spectrum of a compact, connected Riemannian manifold $(M,g)$ of dimension $d \ge 2$, when we add an increasing number of increasingly small handles. No assumptions on any of the curvatures are needed.
33 pages. Submitted to Israel J. Math

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Spectral Theory, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/76844

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9804094
 http://arxiv.org/abs/math/9804094

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arXiv