de Rham theory and cocycles of cubical sets from smooth quandles

Abstract

We show a de Rham theory for cubical manifolds, and study rational homotopy type of the classifying spaces of smooth quandles. We also show that secondary characteristic classes in \cite{Dup2,DK} produce cocycles of quandles.

15 pages, 1 figure

References in corpus (3)

• Geometric formality of homogeneous spaces and of biquotients
• Invariants of hyperbolic 3-manifolds in relative group homology
• Longitudinal Mapping Knot Invariant for SU(2)