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Wikipedia: Braid group
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URLhttps://en.wikipedia.org/wiki/Braid_group
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Wikipedia: Braid group
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Example applications of braid groups include knot theory, where any knot may be represented as the closure of certain braids (a result known as Alexander's theorem); in mathematical physics where Artin's canonical presentation of the braid group corresponds to the Yang-Baxter equation (see § Basic properties); and in monodromy invariants of algebraic geometry.
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