nLab
dihedral homology

Contents

Contents

Idea

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).

References

Last revised on February 16, 2021 at 06:11:09. See the history of this page for a list of all contributions to it.