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Studying links via closed braids. III. Classifying links which are closed 3-braids

Studying links via closed braids. III. Classifying links which are closed 3-braids

A complete solution is given to the classification problem for oriented links which are closed three-braids.The Classification Theorem asserts that, up to a finite list of exceptional cases, links which can be represented by closed 3-braids are represented by a unique conjugacy class in the group of 3-braids.The exceptional cases …