Quandle cocycles from invariant theory

Takefumi Nosaka

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


Let G be a group. Any G-module M has an algebraic structure called a G-family of Alexander quandles. Given a 2-cocycle of a cohomology associated with this G-family, topological invariants of (handlebody) knots in the 3-sphere are defined. We develop a simple algorithm to algebraically construct n-cocycles of this G-family from G-invariant group n-cocycles of the abelian group M. We present many examples of 2-cocycles of these G-families using facts from (modular) invariant theory.

Original languageEnglish
Pages (from-to)423-438
Number of pages16
JournalAdvances in Mathematics
Publication statusPublished - Oct 1 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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