Hodge's harmonic $p$-sets and Pontrjagin classes
Geometric Topology
2007-05-23 v1 Combinatorics
Quantum Algebra
Abstract
This paper shows how Hodge's theory of harmonic -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.
Keywords
Cite
@article{arxiv.math/9802077,
title = {Hodge's harmonic $p$-sets and Pontrjagin classes},
author = {Jonathan Fine},
journal= {arXiv preprint arXiv:math/9802077},
year = {2007}
}
Comments
LaTeX 2e, 3 pages