Work

The Interlace Polynomial of Binary Delta-Matroids and Link Invariants

Year: 2025

Type: article

Abstract: In this work, we study the interlace polynomial as a generalization of a graph invariant to delta-matroids. We prove that the interlace polynomial satisfies the four-term relation for delta-matroids and thus determines a finite type invariant of links in the $$3$$ -sphere. Using the interlace polynomial, we give a lower bound for the size of the Hopf algebra of binary delta-matroids modulo the $$4$$ -term relations.

Source: Functional Analysis and Its Applications

DOI: 10.1134/s1234567825010033

Author: Nadezhda Kodaneva

Institutions: National Research University Higher School of Economics, Yandex (Russia)

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3007115698

FWCI:

Cites: 16

Cited by: 4

Related to: 10