English

On Gelfand and MacPherson's combinatorial formula for Pontrjagin classes

Algebraic Topology 2022-11-01 v1 Combinatorics Differential Geometry

Abstract

In 1992 Gelfand and MacPherson gave a local and combinatorial formula for the Pontrjagin classes of a differential manifold. We give an expanded version of their discussion and highlight the origins of combinatorial differential manifolds in their work.

Cite

@article{arxiv.2210.16903,
  title  = {On Gelfand and MacPherson's combinatorial formula for Pontrjagin classes},
  author = {Olakunle Abawonse and Laura Anderson},
  journal= {arXiv preprint arXiv:2210.16903},
  year   = {2022}
}

Comments

35 pages, 9 figures

R2 v1 2026-06-28T04:48:04.515Z