Hodge's harmonic $p$-sets and Pontrjagin classes

Mathematics – Geometric Topology

Scientific paper

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LaTeX 2e, 3 pages

Scientific paper

This paper shows how Hodge's theory of harmonic $p$-sets (a discrete version of his theory of harmonic forms) allows a new approach to be taken to the problem of providing a combinatorial definition of the Pontrjagin classes of a compact manifold. This approach is then related to the author's definition of flag vectors for hypergraphs, and other objects constructed out of vertices and cells.

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