Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425837 | Advances in Mathematics | 2013 | 16 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Takefumi Nosaka,