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Funktsional'nyi Analiz i ego Prilozheniya, 2025, Volume 59, Issue 1, Pages 29–45
DOI: https://doi.org/10.4213/faa4161 (Mi faa4161) 		 
The interlace polynomial of binary delta-matroids and link invariants

Nadezhda Kodaneva

National Research University "Higher School of Economics", Moscow, Russia
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DOI: https://doi.org/10.4213/faa4161
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.
Keywords: interlace polynomial, knot and link invariants, binary delta-matroids, graph invariants.
Funding agency Grant number
HSE Basic Research Program
This work is an output of a research project implemented as part of the Basic Research Program at HSE University.
Received: 29.09.2023
Revised: 11.03.2024
Accepted: 29.04.2024
Published: 03.02.2025
English version:
Functional Analysis and Its Applications, 2025, Volume 59, Issue 1, Pages 19–31
DOI: https://doi.org/10.1134/S1234567825010033
Bibliographic databases:
Document Type: Article
MSC: 05C31, 57K14
Language: Russian
Citation: Nadezhda Kodaneva, “The interlace polynomial of binary delta-matroids and link invariants”, Funktsional. Anal. i Prilozhen., 59:1 (2025), 29–45; Funct. Anal. Appl., 59:1 (2025), 19–31
Citation in format AMSBIB
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