Defines a kei-based bi-invariant word metric on the transvection group and analyzes its triviality in examples from group theory, dynamics, and symplectic geometry.
A Survey of Quandle Ideas
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This article surveys many aspects of the theory of quandles which algebraically encode the Reidemeister moves. In addition to knot theory, quandles have found applications in other areas which are only mentioned in passing here. The main purpose is to give a short introduction to the subject and a guide to the applications that have been found thus far for quandle cocycle invariants.
fields
math.SG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The kei word metric on the transvection group and its unit ball
Defines a kei-based bi-invariant word metric on the transvection group and analyzes its triviality in examples from group theory, dynamics, and symplectic geometry.