The braid package

[Tags:bsd3, library, program]

A library to work with [braids](https:en.wikipedia.orgwikiBraid_theory) and [Khovanov homology](https:en.wikipedia.orgwikiKhovanov_homology). The main focus of the package is computing (the braid invariant kappa)[http:arxiv.orgabs1507.06263] defined by (the package author)[adamsaltz.com] and (Diana Hubbard)[https:sites.google.comsitedianadhubbard/]. Braids are encoded by their indexwidth and a word in the standard [Artin generators](https:en.wikipedia.orgwiki/Braid_group#Generators_and_relations). To represent the 4-strand braid sigma_1sigma_2sigma^(-1)_3 use

 Braid [1,2,-3] 4

The function computeKappa in the module Kappa returns 'Just kappa' if kappa is finite and Nothing otherwise. More helper functions for working with Khovanov homology and reduced Khovanov homology will be included soon.

The module Braiddiagrams creates diagrams for braids, their closures, and their resolutions. E.g. to dra

The executable KappaView draws the pre-images of the (transverse invariant psi)[http:arxiv.orgabsmath/0412184] with lowest k-grading. The minus-labeled components are indicated by dots.

Properties

Versions 0.1.0.0
Dependencies base (>=4.7 && <5), containers, diagrams-contrib, diagrams-core, diagrams-lib, diagrams-svg, split [details]
License BSD3
Copyright 2016, Adam Saltz
Author Adam Saltz
Maintainer saltz.adam@gmail.com
Category Math
Home page http://github.com/githubuser/braid#readme
Uploaded Mon Jan 18 20:25:59 UTC 2016 by saltza
Distributions NixOS:0.1.0.0
Downloads 87 total (4 in the last 30 days)
Votes
0 []
Status Docs available [build log]
Last success reported on 2016-01-19 [all 1 reports]
Hackage Matrix CI

Modules

[Index]

Downloads

Maintainer's Corner

For package maintainers and hackage trustees