Maps from knots to $2$-links, chord diagrams, and a way to enhance Vassiliev invariants

Fuente: arXiv
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Main Author: Manturov, Vassily Olegovich
Format: Preprint
Published: 2025
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author Manturov, Vassily Olegovich
author_facet Manturov, Vassily Olegovich
contents In the present paper, we discuss a way of generalising Vassiliev knot invariants and weight systems to framed chord diagrams having framing 0 and 1.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01971
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Maps from knots to $2$-links, chord diagrams, and a way to enhance Vassiliev invariants
Manturov, Vassily Olegovich
Geometric Topology
57M25, 57M27, 81T18
In the present paper, we discuss a way of generalising Vassiliev knot invariants and weight systems to framed chord diagrams having framing 0 and 1.
title Maps from knots to $2$-links, chord diagrams, and a way to enhance Vassiliev invariants
topic Geometric Topology
57M25, 57M27, 81T18
url https://arxiv.org/abs/2509.01971