English

The Euler class in the Simplicial de Rham Complex

Differential Geometry 2015-08-27 v2

Abstract

We exhibit a cocycle in the simplicial de Rham complex which represents the Euler class. As an application, we construct a Lie algebra cocycle on Lso(4)L\mathfrak{so}(4).

Keywords

Cite

@article{arxiv.1508.03195,
  title  = {The Euler class in the Simplicial de Rham Complex},
  author = {Naoya Suzuki},
  journal= {arXiv preprint arXiv:1508.03195},
  year   = {2015}
}

Comments

13 pages

R2 v1 2026-06-22T10:32:54.714Z