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Multi-virtual braid groups and their representations Conference attendances

Language Английский
Participant type Секционный
Conference The First International On-line Knot Theory Congress
01-06 Feb 2025 , USA
Authors Bardakov V 1,2
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State Agricultural University

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