pith. sign in

arxiv: 1411.5905 · v3 · pith:CEFQMCQ2new · submitted 2014-11-21 · 🧮 math.GT · math.QA

The degenerate distributive complex is degenerate

classification 🧮 math.GT math.QA
keywords degeneratehomologypartquandledetermineddistributivemultispindlewhen
0
0 comments X
read the original abstract

We prove that the degenerate part of the distributive homology of a multispindle is determined by the normalized homology. In particular, when the multispindle is a quandle $Q$, the degenerate homology of $Q$ is completely determined by the quandle homology of $Q$. For this case (and generally for two term homology of a spindle) we provide an explicit K\"unneth-type formula for the degenerate part. This solves the mystery in algebraic knot theory of the meaning of the degenerate quandle homology, brought over 15 years ago when the homology theories were defined, and the degenerate part was observed to be non trivial.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.