BraidWrithe

The exponent sum of a braid word, i.e. the abelianisation $B_n \to \mathbb{Z}$ — and the writhe of the closed diagram.

BraidWrithe(braid)the exponent sum, i.e. the abelianisation $B_n \to \mathbb{Z}$

Typed signatures

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

Domain: Braids and knots

Examples

Basic #

$1-1+1$

live ↗

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

About

Examples	1

See also: BraidCrossings, BracketInvariant