On symplectic quandles
Quantum Algebra
2007-09-20 v2 Geometric Topology
Abstract
We study the structure of symplectic quandles, quandles which are also R-modules equipped with an antisymmetric bilinear form. We show that every finite dimensional symplectic quandle over a finite field F or arbitrary field F of characteristic other than 2 is a disjoint union of a trivial quandle and a connected quandle. We use the module structure of a symplectic quandle over a finite ring to refine and strengthen the quandle counting invariant.
Cite
@article{arxiv.math/0703727,
title = {On symplectic quandles},
author = {Esteban Adam Navas and Sam Nelson},
journal= {arXiv preprint arXiv:math/0703727},
year = {2007}
}
Comments
11 pages. v2: typo corrections suggested by referee. To appear in Osaka J. Math