BraidPermutation

The image of a braid in the symmetric group — forget which strand went over, and keep only where each strand ends up.

BraidPermutation(braid)where each strand ends up, forgetting which went over

Typed signatures

Type	Package	Applies
(expression<Braid> | string) -> list<integer>	braid	always

Domain: Braids and knots

Examples

Basic #

Signs are forgotten: this is the same as for $\sigma_1\sigma_2\sigma_1$

live ↗

In$\mathrm{BraidPermutation}(\mathrm{Braid}(3, \bigl\lbrack1, -2, 1\bigr\rbrack))$Out$\bigl\lbrack3, 2, 1\bigr\rbrack$

About

Examples	1

See also: BraidComponents, PositivePermutationBraid