Modifications Preserving Hyperbolicity of Link Complements Article Swipe

View

Colin Adams , William H. Meeks , Álvaro Ramos ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2007.01739

Given a link in a 3-manifold such that the complement is hyperbolic, we provide two modifications to the link, called the chain move and the switch move, that preserve hyperbolicity of the complement, with only a relatively small number of manifold-link pair exceptions, which are also classified. These modifications provide a substantial increase in the number of known hyperbolic links in the 3-sphere and other 3-manifolds.

Related Topics

Mechanical Engineering

Concepts

Link (geometry) Complement (music) Mathematics Manifold (fluid mechanics) Topology (electrical circuits) Pure mathematics Combinatorics Engineering Biology Phenotype Biochemistry Mechanical engineering Gene Complementation

Metadata

Type: preprint
Language: en
Landing Page: https://doi.org/10.48550/arxiv.2007.01739
OA Status: green
Cited By: 1
Related Works: 10
OpenAlex ID: https://openalex.org/W4385424598

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4385424598

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2007.01739

Digital Object Identifier
Title: Modifications Preserving Hyperbolicity of Link Complements

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2020

Year of publication
Publication date: 2020-07-03

Full publication date if available
Authors: Colin Adams, William H. Meeks, Álvaro Ramos

List of authors in order
Landing page: https://doi.org/10.48550/arxiv.2007.01739

Publisher landing page
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://doi.org/10.48550/arxiv.2007.01739

Direct OA link when available
Concepts: Link (geometry), Complement (music), Mathematics, Manifold (fluid mechanics), Topology (electrical circuits), Pure mathematics, Combinatorics, Engineering, Biology, Phenotype, Biochemistry, Mechanical engineering, Gene, Complementation

Top concepts (fields/topics) attached by OpenAlex
Cited by: 1

Total citation count in OpenAlex
Citations by year (recent): 2022: 1

Per-year citation counts (last 5 years)
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4385424598
doi	https://doi.org/10.48550/arxiv.2007.01739
ids.doi	https://doi.org/10.48550/arxiv.2007.01739
ids.openalex	https://openalex.org/W4385424598
fwci	0.34809266
type	preprint
title	Modifications Preserving Hyperbolicity of Link Complements
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T10304
topics[0].field.id	https://openalex.org/fields/26
topics[0].field.display_name	Mathematics
topics[0].score	0.9988999962806702
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2608
topics[0].subfield.display_name	Geometry and Topology
topics[0].display_name	Geometric and Algebraic Topology
topics[1].id	https://openalex.org/T10588
topics[1].field.id	https://openalex.org/fields/26
topics[1].field.display_name	Mathematics
topics[1].score	0.9466999769210815
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2610
topics[1].subfield.display_name	Mathematical Physics
topics[1].display_name	Mathematical Dynamics and Fractals
topics[2].id	https://openalex.org/T11615
topics[2].field.id	https://openalex.org/fields/22
topics[2].field.display_name	Engineering
topics[2].score	0.9101999998092651
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2207
topics[2].subfield.display_name	Control and Systems Engineering
topics[2].display_name	Control and Dynamics of Mobile Robots
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C2778753846
concepts[0].level	2
concepts[0].score	0.8872848749160767
concepts[0].wikidata	https://www.wikidata.org/wiki/Q6554239
concepts[0].display_name	Link (geometry)
concepts[1].id	https://openalex.org/C112313634
concepts[1].level	5
concepts[1].score	0.7684750556945801
concepts[1].wikidata	https://www.wikidata.org/wiki/Q7886648
concepts[1].display_name	Complement (music)
concepts[2].id	https://openalex.org/C33923547
concepts[2].level	0
concepts[2].score	0.618432343006134
concepts[2].wikidata	https://www.wikidata.org/wiki/Q395
concepts[2].display_name	Mathematics
concepts[3].id	https://openalex.org/C529865628
concepts[3].level	2
concepts[3].score	0.5636892318725586
concepts[3].wikidata	https://www.wikidata.org/wiki/Q1790740
concepts[3].display_name	Manifold (fluid mechanics)
concepts[4].id	https://openalex.org/C184720557
concepts[4].level	2
concepts[4].score	0.44562071561813354
concepts[4].wikidata	https://www.wikidata.org/wiki/Q7825049
concepts[4].display_name	Topology (electrical circuits)
concepts[5].id	https://openalex.org/C202444582
concepts[5].level	1
concepts[5].score	0.4428275525569916
concepts[5].wikidata	https://www.wikidata.org/wiki/Q837863
concepts[5].display_name	Pure mathematics
concepts[6].id	https://openalex.org/C114614502
concepts[6].level	1
concepts[6].score	0.29376742243766785
concepts[6].wikidata	https://www.wikidata.org/wiki/Q76592
concepts[6].display_name	Combinatorics
concepts[7].id	https://openalex.org/C127413603
concepts[7].level	0
concepts[7].score	0.05994617938995361
concepts[7].wikidata	https://www.wikidata.org/wiki/Q11023
concepts[7].display_name	Engineering
concepts[8].id	https://openalex.org/C86803240
concepts[8].level	0
concepts[8].score	0.05037239193916321
concepts[8].wikidata	https://www.wikidata.org/wiki/Q420
concepts[8].display_name	Biology
concepts[9].id	https://openalex.org/C127716648
concepts[9].level	3
concepts[9].score	0.0
concepts[9].wikidata	https://www.wikidata.org/wiki/Q104053
concepts[9].display_name	Phenotype
concepts[10].id	https://openalex.org/C55493867
concepts[10].level	1
concepts[10].score	0.0
concepts[10].wikidata	https://www.wikidata.org/wiki/Q7094
concepts[10].display_name	Biochemistry
concepts[11].id	https://openalex.org/C78519656
concepts[11].level	1
concepts[11].score	0.0
concepts[11].wikidata	https://www.wikidata.org/wiki/Q101333
concepts[11].display_name	Mechanical engineering
concepts[12].id	https://openalex.org/C104317684
concepts[12].level	2
concepts[12].score	0.0
concepts[12].wikidata	https://www.wikidata.org/wiki/Q7187
concepts[12].display_name	Gene
concepts[13].id	https://openalex.org/C188082640
concepts[13].level	4
concepts[13].score	0.0
concepts[13].wikidata	https://www.wikidata.org/wiki/Q1780899
concepts[13].display_name	Complementation
keywords[0].id	https://openalex.org/keywords/link
keywords[0].score	0.8872848749160767
keywords[0].display_name	Link (geometry)
keywords[1].id	https://openalex.org/keywords/complement
keywords[1].score	0.7684750556945801
keywords[1].display_name	Complement (music)
keywords[2].id	https://openalex.org/keywords/mathematics
keywords[2].score	0.618432343006134
keywords[2].display_name	Mathematics
keywords[3].id	https://openalex.org/keywords/manifold
keywords[3].score	0.5636892318725586
keywords[3].display_name	Manifold (fluid mechanics)
keywords[4].id	https://openalex.org/keywords/topology
keywords[4].score	0.44562071561813354
keywords[4].display_name	Topology (electrical circuits)
keywords[5].id	https://openalex.org/keywords/pure-mathematics
keywords[5].score	0.4428275525569916
keywords[5].display_name	Pure mathematics
keywords[6].id	https://openalex.org/keywords/combinatorics
keywords[6].score	0.29376742243766785
keywords[6].display_name	Combinatorics
keywords[7].id	https://openalex.org/keywords/engineering
keywords[7].score	0.05994617938995361
keywords[7].display_name	Engineering
keywords[8].id	https://openalex.org/keywords/biology
keywords[8].score	0.05037239193916321
keywords[8].display_name	Biology
language	en
locations[0].id	doi:10.48550/arxiv.2007.01739
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license
locations[0].pdf_url
locations[0].version
locations[0].raw_type	article-journal
locations[0].license_id
locations[0].is_accepted	False
locations[0].is_published
locations[0].raw_source_name
locations[0].landing_page_url	https://doi.org/10.48550/arxiv.2007.01739
indexed_in	datacite
authorships[0].author.id	https://openalex.org/A5041547280
authorships[0].author.orcid	https://orcid.org/0000-0002-9244-8368
authorships[0].author.display_name	Colin Adams
authorships[0].author_position	first
authorships[0].raw_author_name	Adams, Colin
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5018495161
authorships[1].author.orcid	https://orcid.org/0000-0003-1853-7466
authorships[1].author.display_name	William H. Meeks
authorships[1].author_position	middle
authorships[1].raw_author_name	Meeks III, William H.
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5037407894
authorships[2].author.orcid	https://orcid.org/0000-0003-1098-0324
authorships[2].author.display_name	Álvaro Ramos
authorships[2].author_position	last
authorships[2].raw_author_name	Ramos, Álvaro K.
authorships[2].is_corresponding	False
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://doi.org/10.48550/arxiv.2007.01739
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Modifications Preserving Hyperbolicity of Link Complements
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T10304
primary_topic.field.id	https://openalex.org/fields/26
primary_topic.field.display_name	Mathematics
primary_topic.score	0.9988999962806702
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2608
primary_topic.subfield.display_name	Geometry and Topology
primary_topic.display_name	Geometric and Algebraic Topology
related_works	https://openalex.org/W4391375266, https://openalex.org/W1518185400, https://openalex.org/W3200586296, https://openalex.org/W4230332972, https://openalex.org/W1998033311, https://openalex.org/W4247322236, https://openalex.org/W4231165741, https://openalex.org/W1762272577, https://openalex.org/W4206960768, https://openalex.org/W2382566571
cited_by_count	1
counts_by_year[0].year	2022
counts_by_year[0].cited_by_count	1
locations_count	1
best_oa_location.id	doi:10.48550/arxiv.2007.01739
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license
best_oa_location.pdf_url
best_oa_location.version
best_oa_location.raw_type	article-journal
best_oa_location.license_id
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	https://doi.org/10.48550/arxiv.2007.01739
primary_location.id	doi:10.48550/arxiv.2007.01739
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license
primary_location.pdf_url
primary_location.version
primary_location.raw_type	article-journal
primary_location.license_id
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	https://doi.org/10.48550/arxiv.2007.01739
publication_date	2020-07-03
publication_year	2020
referenced_works_count	0
abstract_inverted_index.a	1, 4, 35, 50
abstract_inverted_index.in	3, 53, 60
abstract_inverted_index.is	10
abstract_inverted_index.of	30, 39, 56
abstract_inverted_index.to	16
abstract_inverted_index.we	12
abstract_inverted_index.and	23, 63
abstract_inverted_index.are	44
abstract_inverted_index.the	8, 17, 20, 24, 31, 54, 61
abstract_inverted_index.two	14
abstract_inverted_index.also	45
abstract_inverted_index.link	2
abstract_inverted_index.move	22
abstract_inverted_index.only	34
abstract_inverted_index.pair	41
abstract_inverted_index.such	6
abstract_inverted_index.that	7, 27
abstract_inverted_index.with	33
abstract_inverted_index.Given	0
abstract_inverted_index.These	47
abstract_inverted_index.chain	21
abstract_inverted_index.known	57
abstract_inverted_index.link,	18
abstract_inverted_index.links	59
abstract_inverted_index.move,	26
abstract_inverted_index.other	64
abstract_inverted_index.small	37
abstract_inverted_index.which	43
abstract_inverted_index.called	19
abstract_inverted_index.number	38, 55
abstract_inverted_index.switch	25
abstract_inverted_index.provide	13, 49
abstract_inverted_index.3-sphere	62
abstract_inverted_index.increase	52
abstract_inverted_index.preserve	28
abstract_inverted_index.3-manifold	5
abstract_inverted_index.complement	9
abstract_inverted_index.hyperbolic	58
abstract_inverted_index.relatively	36
abstract_inverted_index.classified.	46
abstract_inverted_index.complement,	32
abstract_inverted_index.exceptions,	42
abstract_inverted_index.hyperbolic,	11
abstract_inverted_index.substantial	51
abstract_inverted_index.3-manifolds.	65
abstract_inverted_index.hyperbolicity	29
abstract_inverted_index.manifold-link	40
abstract_inverted_index.modifications	15, 48
cited_by_percentile_year.max	94
cited_by_percentile_year.min	89
countries_distinct_count	0
institutions_distinct_count	3
citation_normalized_percentile.value	0.6632309
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False