Multi-virtual braid groups and their representations - Доклады на конференциях | Sciact - Система учета научной деятельности ИМ СО РАН

Multi-virtual braid groups and their representations Доклады на конференциях

Язык

Английский

Тип доклада

Секционный

Конференция

The First International On-line Knot Theory Congress
01-06 февр. 2025 , USA

Авторы

Bardakov V ^1,2

Организации

1	Институт математики им. С.Л. Соболева СО РАН
2	Новосибирский государственный аграрный университет

In this talk we discuss some analogues of the braid group. In particular, 2-sort braid-like groups, which include virtual braid groups, singular braid group and some of their quotients. Further, we discuss multi-virtual braid groups which were introduced by Prof. Kauffman in 2024. We define some of their subgroups and construct representations of multi-virtual braid groups by automorphisms of some groups. Using these representations we find invariants for multiple virtual knots and links.

Bardakov V.
Multi-virtual braid groups and their representations
The First International On-line Knot Theory Congress 01-06 Feb 2025