Computing the Rank of Braids

We describe a method for computing rank (and determining quasipositivity) in the free group using dynamic programming. The algorithm is adapted to computing upper bounds on the rank for braids. We test our method on a table of knots by identifying quasipositive knots and calculating the ribbon genus...

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Bibliographic Details
Main Author: Meiners, Justin
Format: Others
Published: BYU ScholarsArchive 2021
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/8947
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=9956&context=etd