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

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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.
LaTeX 2e, 3 pages

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Geometric Topology, Combinatorics, Quantum Algebra, 57R20 05C65

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http://salesiana.dossiersoluciones.com/handle/123456789/76615

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802077
 http://arxiv.org/abs/math/9802077

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arXiv