Entropic magmas, their homology, and related invariants of links and graphs

TL;DR

This paper introduces new invariants for links and graphs based on entropic magmas, along with their homology and associated groups, extending classical polynomial invariants like the Kauffman bracket and Tutte polynomial.

Contribution

It defines the homology of entropic magmas and constructs invariants for links and graphs derived from these algebraic structures, providing a novel framework.

Findings

Defined link and graph invariants from entropic magmas

Established homology theory for entropic magmas

Connected entropic magmas to groups and classical invariants

Abstract

We define link and graph invariants from entropic magmas modeling them on the Kauffman bracket and Tutte polynomial. We define the homology of entropic magmas. We also consider groups that can be assigned to the families of compatible entropic magmas.