Legendrian ribbons and strongly quasipositive links in an open book
We show that a link in an open book can be realized as a strongly quasipositive braid if and only if it bounds a Legendrian ribbon with respect to the associated contact structure. This generalizes a result due to Baader and Ishikawa for links in the three-sphere. We highlight some related technique...
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| creator | Hayden, Kyle |
| description | We show that a link in an open book can be realized as a strongly
quasipositive braid if and only if it bounds a Legendrian ribbon with respect
to the associated contact structure. This generalizes a result due to Baader
and Ishikawa for links in the three-sphere. We highlight some related
techniques for determining whether or not a link is strongly quasipositive,
emphasizing applications to fibered links and satellites. |
| doi_str_mv | 10.48550/arxiv.1710.06036 |
| format | Article |
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quasipositive braid if and only if it bounds a Legendrian ribbon with respect
to the associated contact structure. This generalizes a result due to Baader
and Ishikawa for links in the three-sphere. We highlight some related
techniques for determining whether or not a link is strongly quasipositive,
emphasizing applications to fibered links and satellites.</description><identifier>DOI: 10.48550/arxiv.1710.06036</identifier><language>eng</language><subject>Mathematics - Geometric Topology ; Mathematics - Symplectic Geometry</subject><creationdate>2017-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1710.06036$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1710.06036$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Hayden, Kyle</creatorcontrib><title>Legendrian ribbons and strongly quasipositive links in an open book</title><description>We show that a link in an open book can be realized as a strongly
quasipositive braid if and only if it bounds a Legendrian ribbon with respect
to the associated contact structure. This generalizes a result due to Baader
and Ishikawa for links in the three-sphere. We highlight some related
techniques for determining whether or not a link is strongly quasipositive,
emphasizing applications to fibered links and satellites.</description><subject>Mathematics - Geometric Topology</subject><subject>Mathematics - Symplectic Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz81qwzAQBGBdcihJH6Cn6AWcSrJ2rR6D6R8YesndaG0piLiSI6WhefumaU8DwzDwMfYgxUYbAPFo83c4b2RzLQSKGu9Y27m9i2MONvIciFIs3MaRl1NOcT9d-PHLljCnEk7h7PgU4qHwEK8bnmYXOaV0WLGFt1Nx9_-5ZLuX5137VnUfr-_ttqssNlihk6gkyAFBeGj8IJUSIwKSNKANUQPOaKIaYZTgiQbvlCcnNBitnmy9ZOu_25uin3P4tPnS_2r6m6b-ATBwRQA</recordid><startdate>20171016</startdate><enddate>20171016</enddate><creator>Hayden, Kyle</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20171016</creationdate><title>Legendrian ribbons and strongly quasipositive links in an open book</title><author>Hayden, Kyle</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-6e162151c650f57fc1220d656b18548bb75e84bb365d15fbbcfe2fbe0458429a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Geometric Topology</topic><topic>Mathematics - Symplectic Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Hayden, Kyle</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Hayden, Kyle</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Legendrian ribbons and strongly quasipositive links in an open book</atitle><date>2017-10-16</date><risdate>2017</risdate><abstract>We show that a link in an open book can be realized as a strongly
quasipositive braid if and only if it bounds a Legendrian ribbon with respect
to the associated contact structure. This generalizes a result due to Baader
and Ishikawa for links in the three-sphere. We highlight some related
techniques for determining whether or not a link is strongly quasipositive,
emphasizing applications to fibered links and satellites.</abstract><doi>10.48550/arxiv.1710.06036</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
| recordid | cdi_arxiv_primary_1710_06036 |
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| subjects | Mathematics - Geometric Topology Mathematics - Symplectic Geometry |
| title | Legendrian ribbons and strongly quasipositive links in an open book |
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