Biquandle Power Brackets of Oriented Links
Year: 2025
Type: article
Abstract: In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases.
Source: TURKISH JOURNAL OF MATHEMATICS
Authors: NESLİHAN GÜGÜMCÜ, SAM NELSON
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408670967