English

de Rham theory and cocycles of cubical sets from smooth quandles

Geometric Topology 2018-04-03 v1 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.1804.00269,
  title  = {de Rham theory and cocycles of cubical sets from smooth quandles},
  author = {Takefumi Nosaka},
  journal= {arXiv preprint arXiv:1804.00269},
  year   = {2018}
}

Comments

15 pages, 1 figure