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- W4293311267 abstract "The Markov Theorem Without Stabilization (MTWS) established the existence of a calculus of braid isotopies that can be used to move between closed braid representatives of a given oriented link type without having to increase the braid index by stabilization. Although the calculus is extensive there are three key isotopies that were identified and analyzed---destabilization, exchange moves and elementary braid preserving flypes. One of the critical open problems left in the wake of the MTWS is the recognition problem---determining when a given closed $n$-braid admits a specified move of the calculus. In this note we give an algorithmic solution to the recognition problem for these three key isotopies of the MTWS calculus. The algorithm is directed by a complexity measure that can be {em monotonically simplified} by the application of elementary moves." @default.
- W4293311267 created "2022-08-27" @default.
- W4293311267 creator A5022456634 @default.
- W4293311267 date "2012-01-25" @default.
- W4293311267 modified "2023-09-27" @default.
- W4293311267 title "Recognizing destabilization, exchange moves and flypes" @default.
- W4293311267 doi "https://doi.org/10.48550/arxiv.1201.5436" @default.
- W4293311267 hasPublicationYear "2012" @default.
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