Rack and quandle homology
Nicholas Jackson
Abstract
The theory of rack and quandle modules is developed - in particular a tensor product is defined, and shown to satisfy an appropriate adjointness condition. Notions of free rack and quandle modules are introduced, and used to define an enveloping object (the `rack algebra' or `wring') for a given rack or quandle. These constructions are then used to define homology and cohomology theories for racks and quandles which contain all currently-known variants.
Create a lesson
Related papers
Cocompactness and Presentability
Thorger Geiß, Phil Pützstück, Maxime Ramzi
Gabriel--Zisman Localizations, Products, Coproducts, and Product Categories
Chencheng Zhang
An abelian envelope without the quotient property
Johannes Flake, Jonathan Gruber, Thorsten Heidersdorf
On Models of the Planar Lambda Calculus
Chad Nester
Mixing Extriangulated Model Structures
Junpeng Ren, Xianhui Fu
Grothendieck Topologies Are Extensional Presentations of the Form of Sieves
Roy Ferguson, Zurab Janelidze