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トポロジー火曜セミナー
過去の記録 ～05/23｜次回の予定｜今後の予定 05/24～
| 開催情報 | 火曜日 17:00～18:30 数理科学研究科棟(駒場) 056号室 |
|---|---|
| 担当者 | 河澄 響矢, 北山 貴裕, 逆井卓也, 葉廣和夫 |
| セミナーURL | https://park.itc.u-tokyo.ac.jp/MSF/topology/TuesdaySeminar/index.html |
2017年07月11日(火)
17:00-18:30 数理科学研究科棟(駒場) 056号室
Tea: Common Room 16:30-17:00
Celeste Damiani 氏 (JSPS, 大阪市立大学)
Some remarkable quotients of virtual braid groups (ENGLISH)
Tea: Common Room 16:30-17:00
Celeste Damiani 氏 (JSPS, 大阪市立大学)
Some remarkable quotients of virtual braid groups (ENGLISH)
[ 講演概要 ]
Virtual braid groups are one of the most famous generalizations of braid groups. We introduce a family of quotients of virtual braid groups, called loop braid groups. These groups have been an object of interest in different domains of mathematics and mathematical physics, and can be found in the literature also by names such as groups of permutation-conjugacy automorphisms, braid- permutation groups, welded braid groups, weakly virtual braid groups, untwisted ring groups, and others. We show that they share with braid groups the property of admitting many different definitions. After that we consider a further family of quotients called unrestricted virtual braids, describe their structure and explore their relations with fused links.
Virtual braid groups are one of the most famous generalizations of braid groups. We introduce a family of quotients of virtual braid groups, called loop braid groups. These groups have been an object of interest in different domains of mathematics and mathematical physics, and can be found in the literature also by names such as groups of permutation-conjugacy automorphisms, braid- permutation groups, welded braid groups, weakly virtual braid groups, untwisted ring groups, and others. We show that they share with braid groups the property of admitting many different definitions. After that we consider a further family of quotients called unrestricted virtual braids, describe their structure and explore their relations with fused links.
