Infinite sequences of mutually non-conjugate surface braids representing same surface-links

Author:

Iwakiri Masahide

Abstract

We give an infinite sequence of mutually non-conjugate surface braids with same degree representing the trivial surface-link with at least two components and a pair of non-conjugate surface braids with same degree representing a spun ( 2 , t ) (2,t) -torus knot for t 3 t\geq 3 . To give these examples, we introduce new invariants of conjugacy classes of surface braids via colorings by Alexander quandles or core quandles of groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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