Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Discrete connection Laplacians

Author(s): Svetoslav Zahariev
Journal: Proc. Amer. Math. Soc. 136 (2008), 3717-3726.
MSC (2000): Primary 58J50
Posted: May 19, 2008
MathSciNet review: 2415060
Retrieve article in: PDF

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Abstract: To every Hermitian vector bundle with connection over a compact Riemannian manifold one can associate a corresponding connection Laplacian acting on the sections of the bundle. We define analogous combinatorial, metric dependent Laplacians associated to triangulations of and prove that their spectra converge, as the mesh of the triangulations approaches zero, to the spectrum of the connection Laplacian.

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