dihedral homology



The idea of cyclic homology can be generalized to other skew-simplicial groups as shown by Krasauskas and independently by Fiodorowicz. The simplest analogue is the dihedral homology.

There is also a geometric analogy where

so dihedral homology is the cohomology of free loop spaces modulo the O(2)O(2)-action on loops (including reflections, as in the dihedral group).


  • Massimiliano Ungheretti, Free loop spaces and dihedral homology (arXiv:1608.08140)

Last revised on August 30, 2016 at 10:33:03. See the history of this page for a list of all contributions to it.