The average genus of oriented rational links with a given crossing number
In this paper, we enumerate the number of oriented rational knots and the number of oriented rational links with any given crossing number and minimum genus. This allows us to obtain a precise formula for the average minimal genus of oriented rational knots and links with any given crossing number.
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creator | Ray, Dawn Diao, Yuanan |
description | In this paper, we enumerate the number of oriented rational knots and the
number of oriented rational links with any given crossing number and minimum
genus. This allows us to obtain a precise formula for the average minimal genus
of oriented rational knots and links with any given crossing number. |
doi_str_mv | 10.48550/arxiv.2204.12538 |
format | Article |
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number of oriented rational links with any given crossing number and minimum
genus. This allows us to obtain a precise formula for the average minimal genus
of oriented rational knots and links with any given crossing number.</description><identifier>DOI: 10.48550/arxiv.2204.12538</identifier><language>eng</language><subject>Mathematics - Geometric Topology</subject><creationdate>2022-04</creationdate><rights>http://creativecommons.org/licenses/by-nc-nd/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,778,883</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2204.12538$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2204.12538$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Ray, Dawn</creatorcontrib><creatorcontrib>Diao, Yuanan</creatorcontrib><title>The average genus of oriented rational links with a given crossing number</title><description>In this paper, we enumerate the number of oriented rational knots and the
number of oriented rational links with any given crossing number and minimum
genus. This allows us to obtain a precise formula for the average minimal genus
of oriented rational knots and links with any given crossing number.</description><subject>Mathematics - Geometric Topology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz7tOwzAUgGEvDKjwAEycF0g4vsYZUcWlUiWW7JFjn6YWqYPsNMDbIwrTv_3Sx9gdx1pZrfHB5a-41kKgqrnQ0l6zXXckcCtlNxKMlM4F5gPMOVJaKEB2S5yTm2CK6b3AZ1yO4GCMKyXweS4lphHS-TRQvmFXBzcVuv3vhnXPT932tdq_vey2j_vKmcZWxgqhW3ScS6MMaWnQK6-9lIJCQOE5Co1KG95wScaS8e2AdtANhjZYITfs_m97sfQfOZ5c_u5_Tf3FJH8AhN9FjA</recordid><startdate>20220426</startdate><enddate>20220426</enddate><creator>Ray, Dawn</creator><creator>Diao, Yuanan</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20220426</creationdate><title>The average genus of oriented rational links with a given crossing number</title><author>Ray, Dawn ; Diao, Yuanan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-6822590a113646e5360c4c5c332edd02c102504561713e68e6c9b08b570d9d823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Mathematics - Geometric Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Ray, Dawn</creatorcontrib><creatorcontrib>Diao, Yuanan</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ray, Dawn</au><au>Diao, Yuanan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The average genus of oriented rational links with a given crossing number</atitle><date>2022-04-26</date><risdate>2022</risdate><abstract>In this paper, we enumerate the number of oriented rational knots and the
number of oriented rational links with any given crossing number and minimum
genus. This allows us to obtain a precise formula for the average minimal genus
of oriented rational knots and links with any given crossing number.</abstract><doi>10.48550/arxiv.2204.12538</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Geometric Topology |
title | The average genus of oriented rational links with a given crossing number |
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