Dirac operators, heat kernels and microlocal analysis Part II: Analytic surgery

Let X be a closed Riemannian manifold and let H !→ X be an embedded hypersurface. Let X = X_{+} ∪_H X_{−} be a decomposition of X into two manifolds with boundary, with X_{+} ∩X_{−} = H. In this expository article, surgery – or gluing – formulæ for several geometric and spectral invariants associate...

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Bibliographic Details
Main Authors: Rafe Mazzeo, Paolo Piazza
Format: Article
Language:English
Published: Sapienza Università Editrice 1998-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1998(2)/221-288.pdf