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A combinatorial formula for the Pontrjagin classes

Algebraic Topology 2016-09-06 v1 Geometric Topology

Abstract

A combinatorial formula for the Pontrjagin classes of a triangulated manifold is given. The main ingredients are oriented matroid theory and a modified formulation of Chern-Weil theory.

Cite

@article{arxiv.math/9204231,
  title  = {A combinatorial formula for the Pontrjagin classes},
  author = {Israel M. Gelfand and Robert D. MacPherson},
  journal= {arXiv preprint arXiv:math/9204231},
  year   = {2016}
}

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6 pages