Combinatorial Laplacians of matroid complexes

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

Download PDF:
_{Sorry, we are unable to provide the full text but you may find it at the following location(s):}

http://citeseerx.ist.psu.edu/v... (external link)

http://www.ams.org/journals/ja... (external link)