The Euler class in the Simplicial de Rham Complex

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 $L\mathfrak{so}(4)$.

13 pages

References in corpus (1)

• The Chern Character in the Simplicial de Rham Complex

Cited by in corpus (1)

• On some Chern-Simons forms of the Bott-Shulman-Stasheff forms