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arxiv: 1508.03195 · v2 · pith:OTH4SA4Wnew · submitted 2015-08-13 · 🧮 math.DG

The Euler class in the Simplicial de Rham Complex

classification 🧮 math.DG
keywords classcocyclecomplexeulerrhamsimplicialalgebraapplication
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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 $L\mathfrak{so}(4)$.

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