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Combinatorial Laplacians of matroid complexes

By W. Kook, V. Reiner and D. Stanton

Abstract

For any finite simplicial complex K, one can define Laplace operators ∆i which are combinatorial analogues of the Laplace operators on differential forms for a Riemannian manifold. The definition (as in [6, 7]) is as follows. Let Ci be the R-vector space of (oriented) simplicial i-chains in K with real coefficients, an

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.189.1358
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