Bilinear enhancements of quandle invariants.

Autor: Gilroy, Will, Nelson, Sam
Předmět:
Zdroj: Journal of Knot Theory & Its Ramifications; Apr2023, Vol. 32 Issue 5, p1-10, 10p
Abstrakt: We enhance the quandle counting invariants of oriented classical and virtual links using a construction similar to quandle modules but inspired by symplectic quandle operations rather than Alexander quandle operations. Given a finite quandle X and a vector space V over a field, sets of bilinear forms on V indexed by pairs of elements of X satisfying certain conditions yield new enhanced multiset- and polynomial-valued invariants of oriented classical and virtual links. We provide examples to illustrate the computation of the invariants and to show that the enhancement is proper. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index