Splittings of tangles and spatial graphs

Menasco proved that if G is a reduced, alternating, connected diagram of a link L and G is prime then L is prime. This surprising and important result has been generalized to other classes of links, as well as to tangles and spatial graphs. After exploring some issues with previous results, we obtain new splitting results for tangles and spatial graphs.

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Publication Details

Journal
Topology and its Applications
Published
2024-08-22
DOI
https://doi.org/10.1016/j.topol.2024.109042
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Splittings of tangles and spatial graphs

Erica Flapan, Hugh Howards
Topology and its Applications
Geometric and Algebraic Topology
article

Splittings of tangles and spatial graphs

Erica Flapan, Hugh Howards
article en

Abstract

Menasco proved that if G is a reduced, alternating, connected diagram of a link L and G is prime then L is prime. This surprising and important result has been generalized to other classes of links, as well as to tangles and spatial graphs. After exploring some issues with previous results, we obtain new splitting results for tangles and spatial graphs.

Topology and its ApplicationsVol. 356
Pomona College (US), Wake Forest University (US)
National Science Foundation
Openalex Percentile: Top 78%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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