Rack and quandle homology

Details Rack and quandle homology Rack and quandle homology

2004-11-02

arxiv.org/abs/math/0411055v1

Mathematics

Category Theory

16 pages, LaTeX2e. Requires gtart.cls and diagram.sty (included)

Scientific paper

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.

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